she finished her math homework in the of an hour

Time Duration

We will learn how to calculate the time duration in minutes and in hours.

We can calculate the duration of an activity if we know the starting and finishing time. For example, if the morning assembly in a school begins at 8:00 a.m. and finishes at 8:25 a.m. the duration of assembly is the difference of finishing time and starting time.

0825 - 800 = 25 minutes.

So, if we know the starting time and the duration of an activity, we can calculate finishing time of the activity.

Time Duration (in minutes)

Ron and Clara play badminton every evening. Yesterday, their game started at 5 : 15 p.m. and finished at 5 : 50 p.m. How long did their game last?

     50 minutes — 15 minutes---- 35 minutes.

Rita left for Naira’s house at 7 : 30 p.m. She reached Naira’s house at 8:10 p.m. How long did it take her on the way?

   7 : 30 p.m.     → 8 : 00 p.m.     → 8 : 10 p.m. 

It took Rita 40 minutes to reach Naira’s house.

Time Duration (in hours and minutes)  

Uma's flight took off from New Delhi at 11 : 15 in the morning (11 : 15 a.m.). When it arrived in Mumbai, her watch read 1 : 32 in the afternoon (1 : 32 p.m.). How long was the flight?

Look at the clocks.

Count the number of hours from 11 : 15 to 1 : 15. It is 2 hours.

Count by 5s and 1s to count the minutes from 1 : 15 to 1 : 32.

It is 17 minutes. 

The flight was 2 hours and 17 minutes long. Andy left his home for school at 6 : 30 a.m. He reached school after 40 minutes. At what time did he reach school?

     30 minutes   +   10 minutes

Andy reached school at 7 : 10 a.m.

Duration of Time :

Duration of an activity is the difference between the starting time and finishing time. When the starting and finishing time is given, we can easily find the duration of any activity.

For examples, if Terry boarded her school bus at 7 o’clock and she reached school at 8 o’clock, the duration of her travel is 1 hour.

Solved Example on Duration of Time:

Nancy started walking in a park at 6:00 a.m. She walked for 1 hour. At what time did she stop walking?

Starting time = 6:00

Duration of walking = 1 hour

The time after 1 hour = 6 + 1 = 7

Nancy stopped walking at 7 o’clock.

Questions and Answers on Duration of Time:

1. How many minutes have passed from the time on:

(i) Clock A and Clock B __________

(ii) Clock C and Clock D __________

1. (i) 50 minutes

(ii) 15 minutes

2. How many hours and minutes are there between:

(i) 7:20 a.m. and 11:10 a.m.

(ii) 6:15 a.m. and 9:40 a.m.

(iii) 9:00 a.m. and 7:30 p.m.

(iv) 5:20 p.m. and 7:40 p.m.

2. (i) 3 hours 50 minutes

(ii) 3 hours 25 minutes

(iii) 10 hours 30 minutes

(iv) 2 hours 20 minutes

3. What will be the time after 1 hour?

(i) 8:00 → _____

(ii) 9:00 → _____

(iii) 10:00 → _____

(iv) 8:30 → _____

(v) 10:30 → _____

(vi) 5:30 → _____

3. (i) 9:00

(iii) 11:00

4. How many hours have passed when the hour hand moved from:

(i) 10 to 12

(ii) 4 to 8

(iii) 9 to 12

(iv) 5 to 9

(v) 8 to 12

(vi) 11 to 12

4.  (i) 2 hours

(ii) 4 hours

(iii) 3 hours

(iv) 4 hours

(v) 4 hours

(vi) 1 hour

5. Draw hands to show the time 1 hour after the given time in each set of clocks.

6. What will be the time 4 hours after the following times?

[ Note: Here we need to count or calculate the time 4 hours after the following time ]

(i) 6:00 a.m.

(iii) mid-night

(iv) 9:00 a.m.

(v) 10:00 a.m.

(vi) 5:00 p.m.

(vii) 11:00 p.m.

(viii) 2:00 p.m.

6.  (i) 10:00 a.m.

(ii) 4:00 p.m.

(iii) 4:00 a.m.

(iv) 1:00 p.m.

(v) 2:00 p.m.

(vi) 9:00 p.m.

(vii) 3:00 a.m.

(viii) 6:00 p.m.

7. What will be the time 6 hours 30 minutes after the following times.

(i) 9:00 a.m.

(ii) 10:45 p.m.

(iii) 6:15 a.m.

(iv) 2:30 p.m.

7.  (i) 3:30 p.m.

(ii) 5:15 a.m.

(iii) 12:45 p.m.

(iv) 9:00 p.m.

8. How many hours will pass in each of the following time intervals?

[ Note: Here we need to calculate the difference or duration between both the time given ]

(i) From 9:00 a.m. to 11:00 a.m.

(ii) From noon to 5:00 p.m.

(iii) From 10:00 a.m. to 5:00 p.m.

(iv) From 10:00 p.m. to 4:00 a.m.

(v) From 11:00 a.m. to 10:00 a.m.

(vi) From 11 :00 p.m. to 10:00 a.m.

8. (i) 2 hours

(ii) 5  hours

(iii) 7  hours

(iv) 6  hours

(v) 23  hours

(vi) 11  hours

9. Fill the missing places in the table.

9. (i) 2 hours 30 minutes

(ii) 6 hours 45 minutes

(iii) 13 hours 15 minutes

(iv) 11:48 p.m.

(v) 2:33 a.m.

Worksheet on Word Problems on Time Duration: 

10. On May 1, The Sun rose at 5:05 a.m. and set at 7:45 p.m. For how long could the Sun be seen?

Answer: 14 hours 40 minutes

11. Sharon is unwell and the doctor advised her to drink Glucose after every 45 minutes. If Sharon drank a glass of Glucose at 7:30 a.m., then at what time will she take the next two glasses of Glucose?

Answer: 8:15 a.m., 9 a.m.

12. The weather report of a city is updated after every 5\(\frac{1}{2}\) hours. If the report was updated at 8:30 p.m., then when will the next update take place?

Answer: 2:00 a.m.

13. Rita took 7 hours 10 minutes to travel from state A to State B. If she reached the state B at 12:00 noon, at what time did she leave from the state A.

Answers: 4:50 a.m.

14. Mike completed his work in 1 hour 35 minutes. He started at 4:45 p.m. At what time did he complete his work?

Answers: 6:20 p.m.

15. Tine started her homework at 6:30 p.m. and finished at 7:10 p.m. Find the elapsed time.

(i) 1 hour 40 min

(ii) 30 min

(iii) 40 min

(iv) 1 hour 5 min

15. (iii) 40 min

16. Sam started decorating his Christmas Tree at 7:35 p.m.. He completed his work in 1 hour 23 min. At what time did he finish his work?

(i) 9:50 a.m.

(ii) 8:58 p.m.

(iii) 7:40 a.m.

(iv) 8:50 p.m.

16. (ii) 8:58 p.m.

17. In a school, the first period starts at 7:40 a.m. If each period is for 30 minutes, what will be the time at the end of the third period?

(i) 9:30 a.m.

(ii) 10:00 a.m.

(iii) 9:10 a.m.

(iv) 11:00 p.m.

17. (iii) 9:10 a.m.

18. Aaron started for the office at 8 a.m. and returned home at 5 p.m. How much time he was at his office?

18.   Here, we calculated the duration of time from 8:00 a.m. to 5:00 p.m. Therefore,  Aaron was at his office for 9 hours.

19. Richard leaves for his meeting at 10 a.m. and comes back at 6 p.m. How many hours he remained outside?

19.  Here, we need to calculate the duration of time from 10:00 a.m. in the morning to 6:00 p.m. in the evening.

Therefore, Richard remained outside for 8 hours.

20. Tania went to school at 10 a.m. and reached home at 3 p.m. How much time did she spend at school?

20. Tania spend 5 hours at school from 10:00 a.m. to 3:00 p.m.

21. A cricket match starts at 11 a.m. and ends at  6 p.m. How long is the cricket match?

21. The duration of the cricket match is 7 hours from 11:00 a.m. to 6:00 p.m.

22. A concert begins at noon and ends at 5 p.m. How long is the concert?

22.  The duration of the concert is 5 hours from 12:00 p.m. to 5:00 p.m.

23.  Calculate and write the number of days between the two days given (do not include either dates):

(i) Independence Day and Teacher's Day.

(ii) Teachers Day and Children's Day.

(iii) 24 March and 1" October.

(iv) 8 January and 12 February.

23.  (i) 20 Days

(ii) 69 days

(iii) 190 days

(iv) 34 days

24. The annual examination in a school started on April 3 and ended on April 28. How long did the examination continue?

24. 26 days.

25. Rachel returned her library book on September 4. If she borrowed it on August 17, how many days had she kept the book? (Do not include the date of return.)

25. 18 days.

26. Mike joined his temporary job from 3rd March to 14th April. How many days did he work?

26. 43 days.

27. Ron's father left for California on January 7 and returned home on February 20. For how many days did he remain out of home?

27. 45 days.

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Homework Time Calculator

Homework Time (hours/day):

Introduction

As students, educators, and parents, we often grapple with the challenge of managing homework effectively. The “Homework Time Calculator” is a helpful tool designed to streamline this process. It allows you to estimate the time required to complete a set of assignments, helping students plan their study sessions efficiently and strike a balance between academic work and other activities. By providing a realistic understanding of the time commitment, this calculator is a valuable resource for students and parents looking to optimize study routines.

The Homework Time Calculator uses a straightforward formula to estimate the total time needed for completing multiple assignments:

Total Time (in minutes) = ∑(Individual Assignment Times)

In this formula:

• “Total Time” represents the combined time needed for all assignments.
• “∑” denotes the summation symbol, meaning you add up the times for each individual assignment.
• “Individual Assignment Times” are the estimated durations for each homework task.

To use this calculator effectively, you simply input the estimated time for each assignment, and the calculator handles the summation for you.

How to Use?

Using the Homework Time Calculator is a simple process. Here’s how to make the most of it:

• Input Times : Begin by entering the estimated time required for each homework assignment in the provided fields. You can add as many assignments as needed.
• Calculate : After entering the times for all assignments, click the “Calculate” button.
• Results : The calculator will instantly display the total time required to complete all the assignments.
• Adjust as Necessary : If you find that the total time exceeds your available study time, you can make adjustments by reallocating time or prioritizing tasks accordingly.

Suppose a student has three homework assignments to complete:

• Math Worksheet – Estimated time: 30 minutes
• History Reading – Estimated time: 45 minutes
• Science Project – Estimated time: 90 minutes

To calculate the total time required to complete these assignments:

• Input Times : Enter 30 minutes for the Math Worksheet, 45 minutes for History Reading, and 90 minutes for the Science Project.
• Calculate : Click the “Calculate” button.

The calculator will display a total time of 165 minutes, which is equivalent to 2 hours and 45 minutes. This information can help the student plan their study session effectively, ensuring they allocate enough time to complete all assignments.

1. Can I use this calculator for long-term project planning?

The Homework Time Calculator is best suited for estimating the time required to complete individual homework assignments. For long-term project planning, it’s advisable to break down the project into smaller tasks and use the calculator to estimate the time for each subtask.

2. Is this calculator suitable for all grade levels?

Yes, the Homework Time Calculator is suitable for students of all grade levels, from elementary to college. It can be adjusted to accommodate different homework loads and time estimations.

3. What if I complete assignments faster or slower than the estimated time?

The estimated times are meant as a guide. You can adjust the times to reflect your personal study pace. If you consistently complete assignments faster or slower, consider updating your estimates for more accurate planning.

Conclusion:

The Homework Time Calculator is a valuable tool for students and parents who want to improve their homework management and time allocation. By providing a clear estimate of the time required for each assignment and the total time needed, this calculator enables students to plan their study sessions effectively, avoid last-minute rushes, and strike a balance between their academic responsibilities and other activities. It promotes better time management skills and, ultimately, better academic performance. Try it out to enhance your homework routines and make the most of your study time.

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Time Interval Word Problems

Concept Development Look back at your work on Application Problem. We know that Lilly finished after Patrick. Let’s use a number line to figure out how many more minutes than Patrick Lilly took to finish.

Label the first tick mark 0 and the last tick mark 60. Label the hours and 5-minute intervals. T: Plot the times 5:31 p.m. and 5:43 p.m. Find the difference between Patrick and Lilly’s times.

How many more minutes than Patrick did it take Lilly to finish her chores? 12 minutes more.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

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Eureka Math Grade 5 Module 4 Lesson 12 Answer Key

Engage ny eureka math 5th grade module 4 lesson 12 answer key, eureka math grade 5 module 4 lesson 12 problem set answer key.

Question 1. A baseball team played 32 games and lost 8. Katy was the catcher in \(\frac{5}{8}\) of the winning games and \(\frac{1}{4}\) of the losing games. a. What fraction of the games did the team win?

b. In how many games did Katy play catcher?

Question 2. In Mrs. Elliott’s garden, \(\frac{1}{8}\) of the flowers are red, \(\frac{1}{4}\) of them are purple, and \(\frac{1}{5}\) of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

Question 3. Lillian and Darlene plan to get their homework finished within one hour. Darlene completes her math homework in \(\frac{3}{5}\) hour. Lillian completes her math homework with \(\frac{5}{6}\) hour remaining. Who completes her homework faster, and by how many minutes?

Bonus: Give the answer as a fraction of an hour.

Question 4. Create and solve a story problem about a baker and some flour whose solution is given by the expression \(\frac{1}{4}\) × (3 + 5).

Question 6. Of the students in Mr. Smith’s fifth-grade class, \(\frac{1}{3}\) were absent on Monday. Of the students in Mrs. Jacobs’ class, \(\frac{2}{5}\) were absent on Monday. If there were 4 students absent in each class on Monday, how many students are in each class?

Eureka Math Grade 5 Module 4 Lesson 12 Exit Ticket Answer Key

In a classroom, \(\frac{1}{6}\) of the students are wearing blue shirts, and \(\frac{2}{3}\) are wearing white shirts. There are 36 students in the class. How many students are wearing a shirt other than blue or white?

Eureka Math Grade 5 Module 4 Lesson 12 Homework Answer Key

Question 1. Terrence finished a word search in \(\frac{3}{4}\) the time it took Frank. Charlotte finished the word search in \(\frac{2}{3}\) the time it took Terrence. Frank finished the word search in 32 minutes. How long did it take Charlotte to finish the word search?

Question 2. Ms. Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, \(\frac{2}{7}\) of them were pepperoni, 19 were cheese, and the rest were veggie pizzas. What fraction of the pizzas was veggie?

Question 3. In an auditorium, \(\frac{1}{6}\) of the students are fifth graders, \(\frac{1}{3}\) are fourth graders, and \(\frac{1}{4}\) of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

Question 4. At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in \(\frac{3}{4}\) of a minute. Jacob finishes with \(\frac{5}{12}\) of a minute remaining. Who ran the race in the faster time?

Bonus: Express the difference in their times as a fraction of a minute.

Question 6. Create and solve a story problem about two friends and their weekly allowance whose solution is given by the expression \(\frac{1}{5}\) × (12 + 8).

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Math Expressions Grade 3 Unit 3 Lesson 9 Answer Key Add and Subtract Time

Solve the questions in Math Expressions Grade 3 Homework and Remembering Answer Key Unit 3 Lesson 9 Answer Key Add and Subtract Time to attempt the exam with higher confidence. https://mathexpressionsanswerkey.com/math-expressions-grade-3-unit-3-lesson-9-answer-key/

Math Expressions Common Core Grade 3 Unit 3 Lesson 9 Answer Key Add and Subtract Time

Math Expressions Grade 3 Unit 3 Lesson 9 Homework

Solve using a number line.

Explanation: Time at Terry began watching a movie = 5:45 P.M. Time till the movie lasted = 2 hours 20 minutes. Time Terry spent to eating a snack = 25 minutes. Time did Terry finish eating the snack = Time at Terry began watching a movie + Time till the movie lasted + Time Terry spent to eating a snack = 5:45 + 2:20 + 0:25 = 8:05 + 0:25 = 8:30 P.M.

Explanation: Time at Evan left his friend’s house = 5:00 P.M. Time for he been there = 2 hours 15 minutes. Time at Evan arrive at his friend’s house = Time at Evan left his friend’s house – Time for he been there = 5:00 – 2:15 = 2:45 P.M.

Explanation: Time at Haley began reading her book = 9:55 A.M. Time for She read = 1 hour 35 minutes. Time she spent doing her homework = 45 minutes. Time she finished her homework = Time at Haley began reading her book + Time for She read + Time she spent doing her homework = 9:55 + 1:35 + 0:45 = 11:30 + 0:45 = 12: 15 P.M.

Explanation: Time at Myra left home =12:45 P.M. Time she spent for eating lunch = 30 minutes. Time she spent for watching a parade = 50 minutes. Time at she returned home = Time at Myra left home + Time she spent for eating lunch + Time she spent for watching a parade = 12:45 + 0:30 + 0:50 = 1:15 + 0:50 = 2:05 P.M.

Math Expressions Grade 3 Unit 3 Lesson 9 Remembering

Make a rectangle drawing to represent each exercise. Then find the product.

Unit 3 Lesson 9 Math Expressions Grade 3 Answer Key Question 1. 6 × 9 = ___ Answer: 6 × 9 = 54.

Unit 3 Lesson 9 Answer Key Grade 3 Math Expressions Question 2. 7 * 5 = ___ Answer: 7 * 5 = 35.

Question 3. 3 • 6 = ___ Answer: 3 • 6 = 18.

Write the first step question and answer. Then solve the problem.

Question 4. The baker makes 54 biscuits in the morning. Then he makes 26 more in the afternoon. He puts 10 biscuits in each bag. How many bags does he fill? Answer: Number of bags he filled = 8.

Explanation: Number of biscuits in the morning the baker makes = 54. Number of more biscuits in the afternoon the baker makes = 26. Number of biscuits in each bag he puts = 10. Number of bags he filled = (Number of biscuits in the morning the baker makes + Number of more biscuits in the afternoon the baker makes ) ÷ Number of biscuits in each bag he puts = (54 + 26) ÷ 10 = 80 ÷ 10 = 8.

Explanation: Start time         +              Elapsed time             =           End time 9:32 A.M.           +        1 hour  23 minutes        =        10:55 A.M. 1:19 P.M            +        4 hour  18 minutes        =         5:37 P.M. 4:46 P.M            +        2 hour  45 minutes        =         7:31 P.M.

Explanation: Time at Sohil began reading his magazine =4:50 P.M. Time for he read = 35 minutes. Time he spent doing his homework = 45 minutes. Time he finished his homework = Time at Sohil began reading his magazine + Time he read + Time he spent doing his homework = 4:50 + 0:35 + 0:45 = 5:25 + 0:45 = 6:10 P.M.

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Engage your students with effective distance learning resources. ACCESS RESOURCES>>

Dajuana's homework.

• It usually takes Dajuana 45 minutes to do her homework. If she starts her homework at 5:30 PM, what time will she finish?
• One day Dajuana started her homework at 6:45 PM and finished her homework at 7:20 PM. How long did Dajuana spend on her homework?
• Another day, Dajuana finished her homework at 5:05 PM after spending 40 minutes on her homework. What time did Dajuana start her homework?

IM Commentary

The purpose of this task is for students to work on elapsed-time questions. This task includes three different elapsed time situations: end-time unknown, elapsed time unknown, and start-time unknown. In each of these situations, an open number line can be a useful tool to help students visualize and organize the information. In order to do this effectively, students must be able to decompose time into strategic chunks. For example, in part (a), students might find it helpful to decompose 45 minutes into 30 minutes plus 15 minutes. This decomposition allows students to understand that it will take Dajuana 30 minutes to reach 6:00 PM and the additional 15 minutes of homework will take her to 6:15 PM.

This type of reasoning will serve students well when they work with more complex elapsed time problems. There are many different ways that students will approach these problems with open number lines, so teachers should anticipate allowing for multiple solution methods in class. For example, on part (a), a struggling learner might want to break 45 minutes into 4 sets of 10 minutes and 1 set of 5 minutes on their open number line. A more advanced student might reason that if Dajuana spent 1 hour on her homework, she would finish at 6:30 PM. If she only spent 45 minutes on her homework, then we would need to adjust our open number line by moving backwards 15 minutes from 6:30 PM to 6:15 PM.

Open number lines are also helpful because they can visually represent the change within the problem. Students often learn to solve elapsed time problems by adding or subtracting hours and minutes, but using addition or subtraction does not help students differentiate between start-unknown, elapsed time unknown or end-time unknown problems.

Note: there are many different ways that students might use open number lines to solve these problems.  The highlighted value in each problem represents the part of the open number line that represents the solution to the problem.