Real-life math problems worksheet for students to solve practical scenarios.
A worksheet titled "Real-life problems" featuring math word problems involving time, weight, and measurements, with a star icon in the top right corner and a logo at the bottom right.
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Show Answer Key & Explanations
Step-by-step solution for: Real-life problems: distance, length, and more | 4th grade, 5th ...
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Show Answer Key & Explanations
Step-by-step solution for: Real-life problems: distance, length, and more | 4th grade, 5th ...
The image contains a set of real-life problems. Below, I will solve each problem step by step and explain the solution.
---
Find the cost to each person.
- Situation: Some men travel in a taxi for 8 km.
- Cost per kilometer: $7.50
- Total distance traveled: 960 meters (which is 0.96 km)
- Total cost: $15.00
#### Solution:
1. Convert the total distance to kilometers:
\[
960 \text{ meters} = 0.96 \text{ km}
\]
2. Calculate the cost per kilometer:
\[
\text{Cost per kilometer} = \frac{\text{Total cost}}{\text{Total distance}} = \frac{15.00}{0.96}
\]
\[
\frac{15.00}{0.96} = 15.625 \quad (\text{This is not needed for this problem, but it's useful for verification.})
\]
3. Determine the number of men:
- The total cost is $15.00.
- Each man pays $7.50.
- Number of men:
\[
\text{Number of men} = \frac{\text{Total cost}}{\text{Cost per man}} = \frac{15.00}{7.50} = 2
\]
4. Verify the cost per person:
- If there are 2 men, each pays:
\[
\frac{15.00}{2} = 7.50
\]
- This matches the given cost per person.
#### Answer:
\[
\boxed{2}
\]
---
Mrs. and Mrs. Chatterjee were driving a car at 65.1 km/h and they drove from room A to B at 65.7 km/h. How much faster was their speed?
#### Solution:
1. Identify the speeds:
- Speed from room A to B: \(65.7 \text{ km/h}\)
- Speed while driving the car: \(65.1 \text{ km/h}\)
2. Calculate the difference in speed:
\[
\text{Difference in speed} = 65.7 - 65.1 = 0.6 \text{ km/h}
\]
#### Answer:
\[
\boxed{0.6}
\]
---
A car’s tank can hold 3 liters. It has traveled 15 miles each hour. How far did it travel?
#### Solution:
1. Given information:
- Tank capacity: 3 liters
- Speed: 15 miles per hour
2. Assumptions:
- The problem does not specify the time or fuel consumption rate. Without additional information, we cannot determine how far the car traveled. The question seems incomplete.
#### Answer:
\[
\text{Insufficient information to solve.}
\]
---
Two winds: 21.5 m/s and 27.5 m/s. What is the difference between their velocity?
#### Solution:
1. Identify the velocities:
- Velocity 1: \(21.5 \text{ m/s}\)
- Velocity 2: \(27.5 \text{ m/s}\)
2. Calculate the difference:
\[
\text{Difference} = 27.5 - 21.5 = 6 \text{ m/s}
\]
#### Answer:
\[
\boxed{6}
\]
---
An electricity bill of 480 dollars was divided into 6 apartments. When even the same amount as usual, how much should be paid by each apartment?
#### Solution:
1. Total bill: $480
2. Number of apartments: 6
3. Calculate the bill per apartment:
\[
\text{Bill per apartment} = \frac{\text{Total bill}}{\text{Number of apartments}} = \frac{480}{6} = 80
\]
#### Answer:
\[
\boxed{80}
\]
---
A box of pens costs $2. How many can be bought on a sale if 1 box is $1?
#### Solution:
1. Original price of 1 box: $2
2. Sale price of 1 box: $1
3. Determine how many boxes can be bought with the original price of 1 box:
- With $2, you can buy:
\[
\frac{2}{1} = 2 \text{ boxes}
\]
#### Answer:
\[
\boxed{2}
\]
---
Mary speaks 12 words working in an office project. If she spends the whole day over 8 hours, how many words does she speak each day?
#### Solution:
1. Words spoken per minute: 12 words
2. Hours worked per day: 8 hours
3. Minutes worked per day:
\[
8 \text{ hours} \times 60 \text{ minutes/hour} = 480 \text{ minutes}
\]
4. Total words spoken per day:
\[
\text{Total words} = \text{Words per minute} \times \text{Minutes per day} = 12 \times 480 = 5760
\]
#### Answer:
\[
\boxed{5760}
\]
---
Sam runs 24 km in 26 minutes. Maria runs 9.7 km in the same time. How much farther does Sam run than Maria?
#### Solution:
1. Distance run by Sam: 24 km
2. Distance run by Maria: 9.7 km
3. Calculate the difference in distance:
\[
\text{Difference} = 24 - 9.7 = 14.3 \text{ km}
\]
#### Answer:
\[
\boxed{14.3}
\]
---
1. \(\boxed{2}\)
2. \(\boxed{0.6}\)
3. Insufficient information to solve.
4. \(\boxed{6}\)
5. \(\boxed{80}\)
6. \(\boxed{2}\)
7. \(\boxed{5760}\)
8. \(\boxed{14.3}\)
---
Problem 1:
Find the cost to each person.
- Situation: Some men travel in a taxi for 8 km.
- Cost per kilometer: $7.50
- Total distance traveled: 960 meters (which is 0.96 km)
- Total cost: $15.00
#### Solution:
1. Convert the total distance to kilometers:
\[
960 \text{ meters} = 0.96 \text{ km}
\]
2. Calculate the cost per kilometer:
\[
\text{Cost per kilometer} = \frac{\text{Total cost}}{\text{Total distance}} = \frac{15.00}{0.96}
\]
\[
\frac{15.00}{0.96} = 15.625 \quad (\text{This is not needed for this problem, but it's useful for verification.})
\]
3. Determine the number of men:
- The total cost is $15.00.
- Each man pays $7.50.
- Number of men:
\[
\text{Number of men} = \frac{\text{Total cost}}{\text{Cost per man}} = \frac{15.00}{7.50} = 2
\]
4. Verify the cost per person:
- If there are 2 men, each pays:
\[
\frac{15.00}{2} = 7.50
\]
- This matches the given cost per person.
#### Answer:
\[
\boxed{2}
\]
---
Problem 2:
Mrs. and Mrs. Chatterjee were driving a car at 65.1 km/h and they drove from room A to B at 65.7 km/h. How much faster was their speed?
#### Solution:
1. Identify the speeds:
- Speed from room A to B: \(65.7 \text{ km/h}\)
- Speed while driving the car: \(65.1 \text{ km/h}\)
2. Calculate the difference in speed:
\[
\text{Difference in speed} = 65.7 - 65.1 = 0.6 \text{ km/h}
\]
#### Answer:
\[
\boxed{0.6}
\]
---
Problem 3:
A car’s tank can hold 3 liters. It has traveled 15 miles each hour. How far did it travel?
#### Solution:
1. Given information:
- Tank capacity: 3 liters
- Speed: 15 miles per hour
2. Assumptions:
- The problem does not specify the time or fuel consumption rate. Without additional information, we cannot determine how far the car traveled. The question seems incomplete.
#### Answer:
\[
\text{Insufficient information to solve.}
\]
---
Problem 4:
Two winds: 21.5 m/s and 27.5 m/s. What is the difference between their velocity?
#### Solution:
1. Identify the velocities:
- Velocity 1: \(21.5 \text{ m/s}\)
- Velocity 2: \(27.5 \text{ m/s}\)
2. Calculate the difference:
\[
\text{Difference} = 27.5 - 21.5 = 6 \text{ m/s}
\]
#### Answer:
\[
\boxed{6}
\]
---
Problem 5:
An electricity bill of 480 dollars was divided into 6 apartments. When even the same amount as usual, how much should be paid by each apartment?
#### Solution:
1. Total bill: $480
2. Number of apartments: 6
3. Calculate the bill per apartment:
\[
\text{Bill per apartment} = \frac{\text{Total bill}}{\text{Number of apartments}} = \frac{480}{6} = 80
\]
#### Answer:
\[
\boxed{80}
\]
---
Problem 6:
A box of pens costs $2. How many can be bought on a sale if 1 box is $1?
#### Solution:
1. Original price of 1 box: $2
2. Sale price of 1 box: $1
3. Determine how many boxes can be bought with the original price of 1 box:
- With $2, you can buy:
\[
\frac{2}{1} = 2 \text{ boxes}
\]
#### Answer:
\[
\boxed{2}
\]
---
Problem 7:
Mary speaks 12 words working in an office project. If she spends the whole day over 8 hours, how many words does she speak each day?
#### Solution:
1. Words spoken per minute: 12 words
2. Hours worked per day: 8 hours
3. Minutes worked per day:
\[
8 \text{ hours} \times 60 \text{ minutes/hour} = 480 \text{ minutes}
\]
4. Total words spoken per day:
\[
\text{Total words} = \text{Words per minute} \times \text{Minutes per day} = 12 \times 480 = 5760
\]
#### Answer:
\[
\boxed{5760}
\]
---
Problem 8:
Sam runs 24 km in 26 minutes. Maria runs 9.7 km in the same time. How much farther does Sam run than Maria?
#### Solution:
1. Distance run by Sam: 24 km
2. Distance run by Maria: 9.7 km
3. Calculate the difference in distance:
\[
\text{Difference} = 24 - 9.7 = 14.3 \text{ km}
\]
#### Answer:
\[
\boxed{14.3}
\]
---
Final Answers:
1. \(\boxed{2}\)
2. \(\boxed{0.6}\)
3. Insufficient information to solve.
4. \(\boxed{6}\)
5. \(\boxed{80}\)
6. \(\boxed{2}\)
7. \(\boxed{5760}\)
8. \(\boxed{14.3}\)
Parent Tip: Review the logic above to help your child master the concept of distance formula word problems worksheet.