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

Let’s solve each problem one by one, step by step. We’ll use the basic formula:

Speed = Distance ÷ Time
or rearranged:
Distance = Speed × Time
Time = Distance ÷ Speed

We’ll be careful with units — especially when minutes are involved, we’ll convert them to hours (since speed is usually in miles per hour or km per hour).

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Problem 1:

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

Use: Speed = Distance ÷ Time

→ Speed = 30 miles ÷ 4 hours = 7.5 mph

✔ Final Answer for #1: 7.5 mph

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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?

First, find the distance using original speed and time:

→ Distance = Speed × Time = 50 mph × 3 h = 150 miles

Now, find new speed to cover 150 miles in 4.5 hours:

→ New Speed = Distance ÷ Time = 150 ÷ 4.5

Let’s calculate that:

150 ÷ 4.5 = 1500 ÷ 45 = 33.333... → 33⅓ mph or 33.33 mph (rounded)

✔ Final Answer for #2: 33⅓ mph (or 33.33 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?

Break into two parts.

Part 1:
Time = 2 hours, Speed = 15 km/h
→ Distance₁ = 15 × 2 = 30 km

Part 2:
Time = 1 hour 25 minutes → Convert 25 minutes to hours:
25 ÷ 60 = 5/12 ≈ 0.4167 hours
So total time = 1 + 5/12 = 17/12 hours

Speed = 18 km/h
→ Distance₂ = 18 × (17/12) = (18×17)/12 = 306/12 = 25.5 km

Total distance = 30 + 25.5 = 55.5 km

✔ Final Answer for #3: 55.5 km

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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?

Find time for each part.

Part 1:
Distance = 40 miles, Speed = 40 mph
→ Time₁ = 40 ÷ 40 = 1 hour

Part 2:
Distance = 60 miles, Speed = 50 mph
→ Time₂ = 60 ÷ 50 = 1.2 hours

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

But since question asks for total time, we can leave as decimal or add:

Total time = 1 + 1.2 = 2.2 hours

Or in hours and minutes: 2 hours + 0.2×60 = 2 hours 12 minutes

Either is fine, but let’s give both forms.

✔ Final Answer for #4: 2.2 hours (or 2 hours 12 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.

Use: Time = Distance ÷ Speed

→ Time = 11 ÷ 60 hours

That’s 11/60 hours. Now convert to minutes:

Multiply by 60: (11/60) × 60 = 11 minutes

✔ Final Answer for #5: 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?

Break into two parts.

Part 1:
Time = 1 hour 30 minutes = 1.5 hours
Speed = 10 km/h
→ Distance₁ = 10 × 1.5 = 15 km

Part 2:
Time = 1 hour 10 minutes → 10 minutes = 10/60 = 1/6 hour → Total = 1 + 1/6 = 7/6 hours
Speed = 20 km/h
→ Distance₂ = 20 × (7/6) = 140/6 = 70/3 ≈ 23.333 km

Total distance = 15 + 70/3 = 45/3 + 70/3 = 115/3 ≈ 38.333 km

Or as mixed number: 38⅓ km

✔ Final Answer for #6: 38⅓ km (or 38.33 km)

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Final Answer:
1. 7.5 mph
2. 33⅓ mph
3. 55.5 km
4. 2.2 hours (or 2 hours 12 minutes)
5. 11 minutes
6. 38⅓ km