Speed, Time, and Distance Word Problems Worksheet | Grade1to6 - Free Printable

Let's solve each of the Speed, Time, and Distance word problems step by step. We'll use the basic formula:

> Speed = Distance ÷ Time
> Distance = Speed × Time
> Time = Distance ÷ Speed

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Problem 1:

A cyclist covers a distance of 30 miles in 4 hours. Calculate his speed.

Solution:

Given:
- Distance = 30 miles
- Time = 4 hours

Use the formula:
Speed = Distance ÷ Time
= 30 ÷ 4
= 7.5 mph

✔ Answer: 7.5 miles per hour

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Problem 2:

A car takes 3 hours to cover a distance, if it travels at a speed of 50 mph. What should be its speed to cover the same distance in 4.5 hours?

Step 1: Find the distance first.

Distance = Speed × Time
= 50 mph × 3 hours
= 150 miles

Step 2: Find new speed to cover 150 miles in 4.5 hours

Speed = Distance ÷ Time
= 150 ÷ 4.5
= 33.33... mph (or 33⅓ mph)

✔ Answer: 33.33 mph (or 33⅓ mph)

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Problem 3:

Bill roller skates for 2 hours with a constant speed of 15 km/h and then for another 1 hour 25 minutes with a constant speed of 18 km/h. What distance did he go?

Step 1: First part – 2 hours at 15 km/h

Distance₁ = Speed × Time
= 15 km/h × 2 h
= 30 km

Step 2: Second part – 1 hour 25 minutes at 18 km/h

Convert 1 hour 25 minutes to hours:
25 minutes = 25/60 = 5/12 ≈ 0.4167 hours
So, total time = 1 + 0.4167 = 1.4167 hours

Distance₂ = 18 km/h × 1.4167 h
≈ 18 × 1.4167 ≈ 25.5 km

Total distance = 30 + 25.5 = 55.5 km

✔ Answer: 55.5 kilometers

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Problem 4:

A train travels 40 miles with a constant speed of 40 mph and another 60 miles with a constant speed of 50 mph. How much time in total does it take to travel these distances?

First segment:
- Distance = 40 miles
- Speed = 40 mph
- Time = Distance ÷ Speed = 40 ÷ 40 = 1 hour

Second segment:
- Distance = 60 miles
- Speed = 50 mph
- Time = 60 ÷ 50 = 1.2 hours

Convert 1.2 hours to minutes:
0.2 × 60 = 12 minutes → So 1.2 hours = 1 hour 12 minutes

Total time = 1 hour + 1.2 hours = 2.2 hours

Or in minutes: 2.2 × 60 = 132 minutes

✔ Answer: 2.2 hours or 132 minutes

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Problem 5:

A car travels at an average speed of 60 mph. How long will it take for the car to travel 11 miles? Give your answer in minutes.

Time = Distance ÷ Speed
= 11 ÷ 60 = 0.1833... hours

Convert to minutes:
0.1833 × 60 ≈ 11 minutes

✔ Answer: 11 minutes

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Problem 6:

Rodney rides his bike for 1 hour 30 minutes with a constant speed of 10 km/h and then for another 1 hour 10 minutes with a constant speed of 20 km/h. What distance did he go?

First segment:
- Time = 1 hour 30 minutes = 1.5 hours
- Speed = 10 km/h
- Distance₁ = 10 × 1.5 = 15 km

Second segment:
- Time = 1 hour 10 minutes = 1 + 10/60 = 1 + 1/6 ≈ 1.1667 hours
- Speed = 20 km/h
- Distance₂ = 20 × 1.1667 ≈ 23.33 km

Total distance = 15 + 23.33 = 38.33 km

✔ Answer: 38.33 kilometers

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 7.5 mph |
| 2 | 33.33 mph (or 33⅓ mph) |
| 3 | 55.5 km |
| 4 | 2.2 hours (or 132 minutes) |
| 5 | 11 minutes |
| 6 | 38.33 km |

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