Calculating speed | 4th grade Math Worksheet | GreatSchools - Free Printable

The image contains a set of speed-related problems. Below, I will solve each problem step by step and explain the solution.

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Problem 1: How long will it take a bike rider to travel 25 miles at a speed of 5 miles per hour?

#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

- Distance = 25 miles
- Speed = 5 miles per hour

Substitute the values into the formula:
\[
\text{Time} = \frac{25 \text{ miles}}{5 \text{ miles per hour}} = 5 \text{ hours}
\]

#### Answer:
\[
\boxed{5 \text{ hours}}
\]

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Problem 2: If a car travels 150 miles in 3 hours, what speed is it traveling?

#### Solution:
We use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

- Distance = 150 miles
- Time = 3 hours

Substitute the values into the formula:
\[
\text{Speed} = \frac{150 \text{ miles}}{3 \text{ hours}} = 50 \text{ miles per hour}
\]

#### Answer:
\[
\boxed{50 \text{ miles per hour}}
\]

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Problem 3: If a train travels at a constant speed of 60 mph, how far does it travel in 4 hours?

#### Solution:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

- Speed = 60 miles per hour
- Time = 4 hours

Substitute the values into the formula:
\[
\text{Distance} = 60 \text{ miles per hour} \times 4 \text{ hours} = 240 \text{ miles}
\]

#### Answer:
\[
\boxed{240 \text{ miles}}
\]

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Problem 4: A car travels along a road at a constant speed of 80 km/h. How far will it travel in 3 hours?

#### Solution:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

- Speed = 80 km/h
- Time = 3 hours

Substitute the values into the formula:
\[
\text{Distance} = 80 \text{ km/h} \times 3 \text{ hours} = 240 \text{ km}
\]

#### Answer:
\[
\boxed{240 \text{ km}}
\]

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Problem 5: A train covers a distance of 480 km in 6 hours at a constant speed. How fast is it traveling?

#### Solution:
We use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

- Distance = 480 km
- Time = 6 hours

Substitute the values into the formula:
\[
\text{Speed} = \frac{480 \text{ km}}{6 \text{ hours}} = 80 \text{ km/h}
\]

#### Answer:
\[
\boxed{80 \text{ km/h}}
\]

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Problem 6: If a man walks at a steady speed of 3 mph, how long will it take him to walk 12 miles?

#### Solution:
We use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

- Distance = 12 miles
- Speed = 3 mph

Substitute the values into the formula:
\[
\text{Time} = \frac{12 \text{ miles}}{3 \text{ mph}} = 4 \text{ hours}
\]

#### Answer:
\[
\boxed{4 \text{ hours}}
\]

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Problem 7: A car travels at a constant speed of 60 mph. How far will it travel in 2 hours?

#### Solution:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

- Speed = 60 mph
- Time = 2 hours

Substitute the values into the formula:
\[
\text{Distance} = 60 \text{ mph} \times 2 \text{ hours} = 120 \text{ miles}
\]

#### Answer:
\[
\boxed{120 \text{ miles}}
\]

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Problem 8: Melanie completes a long-distance race in 3 hours. If she runs at a speed of 10 mph, how far did she run?

#### Solution:
We use the formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]

- Speed = 10 mph
- Time = 3 hours

Substitute the values into the formula:
\[
\text{Distance} = 10 \text{ mph} \times 3 \text{ hours} = 30 \text{ miles}
\]

#### Answer:
\[
\boxed{30 \text{ miles}}
\]

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Problem 9: Sam cycles 10 km to his friend's house in 2 hours. What is his average speed?

#### Solution:
We use the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

- Distance = 10 km
- Time = 2 hours

Substitute the values into the formula:
\[
\text{Speed} = \frac{10 \text{ km}}{2 \text{ hours}} = 5 \text{ km/h}
\]

#### Answer:
\[
\boxed{5 \text{ km/h}}
\]

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Final Answers:

1. \(\boxed{5 \text{ hours}}\)
2. \(\boxed{50 \text{ miles per hour}}\)
3. \(\boxed{240 \text{ miles}}\)
4. \(\boxed{240 \text{ km}}\)
5. \(\boxed{80 \text{ km/h}}\)
6. \(\boxed{4 \text{ hours}}\)
7. \(\boxed{120 \text{ miles}}\)
8. \(\boxed{30 \text{ miles}}\)
9. \(\boxed{5 \text{ km/h}}\)