Grade 4
  1. Numbers and Place Value  1.1. Understanding Place Value  1.2. Reading and Writing Large Numbers  1.3. Comparing and Ordering Numbers  1.4. Rounding Numbers  1.5. Understanding Odd and Even Numbers  1.6. Number Patterns and Sequences
  2. Addition and Subtraction  2.1. Addition of Large Numbers  2.2. Subtraction of Large Numbers  2.3. Estimation in Addition and Subtraction  2.4. Word Problems on Addition and Subtraction
  3. Multiplication and Division  3.1. Understanding Multiplication  3.2. Multiplying Multi-Digit Numbers  3.3. Understanding Division  3.4. Dividing Multi-Digit Numbers  3.5. Multiplication and Division Facts  3.6. Word Problems on Multiplication and Division
  4. Factors and Multiples  4.1. Understanding Factors  4.2. Finding Common Factors  4.3. Understanding Multiples  4.4. Finding Common Multiples  4.5. Prime and Composite Numbers  4.6. Prime Factorization  4.7. Greatest Common Factor  4.8. Least Common Multiple
  5. Fractions  5.1. Understanding Fractions  5.2. Equivalent Fractions  5.3. Simplifying Fractions  5.4. Comparing and Ordering Fractions  5.5. Addition of Fractions  5.6. Subtraction of Fractions  5.7. Mixed Numbers and Improper Fractions  5.8. Converting Mixed Numbers to Improper Fractions  5.9. Word Problems on Fractions
  6. Decimals  6.1. Understanding Decimals  6.2. Reading and Writing Decimals  6.3. Comparing and Ordering Decimals  6.4. Rounding Decimals  6.5. Addition of Decimals  6.6. Subtraction of Decimals  6.7. Converting Decimals to Fractions  6.8. Converting Fractions to Decimals  6.9. Word Problems on Decimals
  7. Measurement  7.1. Length  7.1.1. Units of Length  7.1.2. Converting Units of Length  7.1.3. Perimeter  7.1.4. Area  7.1.5. Word Problems on Length  7.2. Weight  7.2.1. Units of Weight  7.2.2. Converting Units of Weight  7.2.3. Word Problems on Weight  7.3. Volume and Capacity  7.3.1. Units of Volume  7.3.2. Converting Units of Volume  7.3.3. Estimating Volume and Capacity  7.3.4. Word Problems on Volume and Capacity  7.4. Time  7.4.1. Reading Time  7.4.2. Units of Time  7.4.3. Converting Units of Time  7.4.4. Calculating Elapsed Time  7.4.5. Word Problems on Time
  8. Geometry  8.1. Properties of Shapes  8.1.1. Types of Angles  8.1.2. Types of Triangles  8.1.4. Symmetry  8.1.5. Lines of Symmetry  8.2. Perimeter and Area  8.2.1. Perimeter of Rectangles  8.2.2. Perimeter of Other Shapes  8.2.3. Area of Rectangles  8.2.4. Area of Other Shapes  8.2.5. Area of Irregular Shapes  8.3. Coordinate Geometry  8.3.1. Understanding Coordinates  8.3.2. Plotting Points on a Grid  8.3.3. Identifying Shapes on a Grid
  9. Data and Graphs  9.1. Types of Data  9.2. Organizing Data  9.3. Reading Bar Graphs  9.4. Drawing Bar Graphs  9.5. Line Plots  9.7. Reading and Interpreting Line Graphs  9.8. Word Problems on Graphs
  10. Money  10.1. Understanding Money  10.2. Addition and Subtraction with Money  10.3. Making Change  10.4. Multiplying and Dividing Money  10.5. Word Problems on Money

Grade 4 → Measurement → Time ↓


Word Problems on Time


Understanding time is an essential part of everyday life. It helps us organize our day, arrive on time for activities, and plan future events. In grade 4 math, students learn to solve word problems involving time. These problems help students develop skills in reasoning, critical thinking, and mathematical calculations. Let's discuss this topic in depth with both textual and visual examples.

Basic concepts of time

Before solving word problems in time, it's important to revisit some basic concepts:

  • A day is divided into hours, there are 24 hours in a day.
  • An hour is divided into minutes, there are 60 minutes in an hour.
  • A minute is divided into seconds, there are 60 seconds in a minute.

Time can be shown on both analog and digital clocks. It is important to understand both to solve time-based problems.

Understanding analog clocks

An analog clock has the numbers 1 to 12 marked on its front and two hands:

  • The short hand shows the hour.
  • The long hand shows the minutes.

For example, if the short hand points to 3 and the long hand points to 12, the time is 3:00. If the long hand points to 6, the time is 3:30.

12369

This image shows an analog clock at 3:00.

Solve word problems over time

Word problems on time involve finding the time taken to complete activities, adding or subtracting time, and converting between different time units. Let's take a look at some examples:

Example 1: Time period

Problem: Sarah starts her homework at 4:15 pm and finishes it at 5:00 pm. How long did it take her to finish her homework?

Solution:

First, let's understand the scheduled time:

Start time = 4:15 PM
End time = 5:00 PM

Calculate the duration by subtracting the start time from the end time:

Duration = End time - Start time
5:00 PM - 4:15 PM

Break it down:

  • The time period is from 4:15 PM to 4:60 PM (5:00 PM).

Answer: It took Sarah 45 minutes to finish her homework.

Example 2: Adding time

Problem: Jake's soccer practice started at 3:20 p.m. and lasted 1 hour 45 minutes. What time did practice end?

Solution:

First, let's understand the start time and duration:

Start time = 3:20 PM
Duration = 1 hour and 45 minutes

Add duration to start time:

End time = Start time + Duration

Add one hour to 3:20 PM:

3:20 PM + 1 hour = 4:20 PM

Then add 45 minutes to 4:20 PM:

4:20 PM + 45 minutes = 5:05 PM

Answer: Practice ended at 5:05 p.m.

Example 3: Subtracting time

Problem: A movie that started at 6:10 PM lasted 2 hours 30 minutes. What time did the movie start?

Solution:

First, pay attention to the expiration time and duration:

End time = 6:10 PM
Duration = 2 hours and 30 minutes

Subtract the duration from the end time to find the start time:

Start time = End time - Duration

Subtract 2 hours from 6:10 PM:

6:10 PM - 2 hours = 4:10 PM

Then subtract 30 minutes from 4:10 PM:

4:10 PM - 30 minutes = 3:40 PM

Answer: The movie started at 3:40 pm.

Example 4: Time conversion

Problem: Convert 150 minutes into hours and minutes.

Solution:

Understand that 1 hour equals 60 minutes. Start by dividing 150 by 60:

150 ÷ 60 = 2 hours and 30 minutes

Answer: 150 minutes is equal to 2 hours and 30 minutes.

Practice problems

Try solving these problems yourself:

  1. The baking session began at 2:45 pm and lasted 1 hour and 20 minutes. What time did it end?
  2. Tom watched the football match from 1:30 pm to 3:15 pm. How long did the match last?
  3. Convert 90 minutes to hours and minutes.
  4. If Sandra started reading at 7 p.m. and she read for 1 hour 45 minutes, in how much time did she finish reading?

Tips for solving time word problems

  • Read the problem carefully to know the start time, end time and duration.
  • Decide whether you need to add or subtract time based on the requirements of the problem.
  • Convert time units when necessary, such as minutes to hours.
  • Double-check your answer to ensure accuracy.

Conclusion

Word problems on time are a great way to develop mathematical reasoning skills. By practicing, students become more comfortable with both the notation and logic associated with time-based calculations. Whether using addition, subtraction, or conversion of time units, these skills are not only important academically, but also practical in everyday life scenarios.


Grade 4 → 7.4.5


U
username
0%
completed in Grade 4

← Prev (7.4.4)
Calculating Elapsed Time
Next (8) →
Geometry

Comments 



Word Problems on Time

https://www.buddymath.com/g4/7.4.5?bmal=en