Math worksheet featuring word problems to calculate time based on distance and speed.

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Find Time

1. Michael ran 300 meters in 45 seconds. What was his average speed in meters per second?

2. A car travels 270 kilometers in 3 hours. What is its average speed in kilometers per hour?

3. How long does it take for a train traveling at 80 km/h to cover a distance of 320 kilometers?

4. If a cyclist rides at an average speed of 15 km/h for 2 hours, how far does he travel?

5. A runner completes a 10-kilometer race in 40 minutes. What is her average speed in km/h?

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Let me solve each one step by step and explain the reasoning.

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Problem 1:

Michael ran 300 meters in 45 seconds. What was his average speed in meters per second?

Formula:
Average speed = Total distance ÷ Total time

Calculation:
Speed = 300 meters ÷ 45 seconds = 6.67 m/s (approximately)

✔ Answer: 6.67 meters per second

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Problem 2:

A car travels 270 kilometers in 3 hours. What is its average speed in kilometers per hour?

Formula:
Average speed = Distance ÷ Time

Calculation:
Speed = 270 km ÷ 3 h = 90 km/h

✔ Answer: 90 kilometers per hour

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Problem 3:

How long does it take for a train traveling at 80 km/h to cover a distance of 320 kilometers?

Formula:
Time = Distance ÷ Speed

Calculation:
Time = 320 km ÷ 80 km/h = 4 hours

✔ Answer: 4 hours

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Problem 4:

If a cyclist rides at an average speed of 15 km/h for 2 hours, how far does he travel?

Formula:
Distance = Speed × Time

Calculation:
Distance = 15 km/h × 2 h = 30 kilometers

✔ Answer: 30 kilometers

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Problem 5:

A runner completes a 10-kilometer race in 40 minutes. What is her average speed in km/h?

Note: Time must be in hours for km/h.

Convert 40 minutes to hours:
40 ÷ 60 = ⅔ hours ≈ 0.6667 hours

Now use formula:
Speed = Distance ÷ Time = 10 km ÷ (⅔) h = 10 × (3/2) = 15 km/h

✔ Answer: 15 kilometers per hour

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✔ Final Answers:

1. 6.67 m/s
2. 90 km/h
3. 4 hours
4. 30 km
5. 15 km/h

Let me know if you'd like these explained further or formatted differently!