Distance Time Speed worksheet - Free Printable

Let's solve each of these distance, time, and speed problems step by step. We’ll use the basic formula:

$$
\text{Speed} = \frac{\text{Distance}}{\text{Time}}, \quad \text{Distance} = \text{Speed} \times \text{Time}, \quad \text{Time} = \frac{\text{Distance}}{\text{Speed}}
$$

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1. Carlos walks at a speed of 6 km/hr. How far will he go in 3 hours?

- Speed = 6 km/hr
- Time = 3 hours
- Distance = Speed × Time = $ 6 \times 3 = 18 $ km

✔ Answer: 18 km

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2. A jet ski moves at 120 km/hr. How far does it travel in a quarter of an hour?

- Speed = 120 km/hr
- Time = ¼ hour = 0.25 hours
- Distance = $ 120 \times 0.25 = 30 $ km

✔ Answer: 30 km

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3. At a speed of 90 km/hr, how long does it take to travel 30 km?

- Speed = 90 km/hr
- Distance = 30 km
- Time = $ \frac{30}{90} = \frac{1}{3} $ hour
- Convert to minutes: $ \frac{1}{3} \times 60 = 20 $ minutes

✔ Answer: 20 minutes (or $ \frac{1}{3} $ hr)

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4. Tatum takes 3 hours to jog 45 km. What is his speed?

- Distance = 45 km
- Time = 3 hours
- Speed = $ \frac{45}{3} = 15 $ km/hr

✔ Answer: 15 km/hr

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5. At what speed must a cyclist travel to cover a distance of 90 km in 2 hours?

- Distance = 90 km
- Time = 2 hours
- Speed = $ \frac{90}{2} = 45 $ km/hr

✔ Answer: 45 km/hr

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6. Walking at a speed of 14 km/hr, Ashley takes 30 minutes to walk from home to school. How far is the school from her home?

- Speed = 14 km/hr
- Time = 30 minutes = $ \frac{30}{60} = 0.5 $ hours
- Distance = $ 14 \times 0.5 = 7 $ km

✔ Answer: 7 km

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7. Travelling at 60 km/hr, a minivan took 12 minutes to cover a journey. How long is that journey?

- Speed = 60 km/hr
- Time = 12 minutes = $ \frac{12}{60} = 0.2 $ hours
- Distance = $ 60 \times 0.2 = 12 $ km

✔ Answer: 12 km

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8. At what speed must I walk to travel 8 km in 12 minutes?

- Distance = 8 km
- Time = 12 minutes = $ \frac{12}{60} = 0.2 $ hours
- Speed = $ \frac{8}{0.2} = 40 $ km/hr

⚠️ Wait — walking at 40 km/hr is extremely fast (faster than running)! Let’s double-check.

But mathematically:
$$
\text{Speed} = \frac{8}{0.2} = 40 \text{ km/hr}
$$

This seems unrealistic for walking, but the calculation is correct if the person covers 8 km in 12 minutes.

But let’s convert to more realistic units:

- 12 minutes = 0.2 hours → so speed = 8 / 0.2 = 40 km/hr → yes.

So unless there’s a typo, this is the answer.

✔ Answer: 40 km/hr

> ⚠️ Note: This is not a typical walking speed (normal walking is ~5 km/hr). Perhaps the problem meant "in 12 minutes" as a mistake, or maybe it's a test of understanding regardless of realism.

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✔ Final Answers Summary:

1. 18 km
2. 30 km
3. 20 minutes (or $ \frac{1}{3} $ hr)
4. 15 km/hr
5. 45 km/hr
6. 7 km
7. 12 km
8. 40 km/hr

Let me know if you'd like these answers formatted for printing or with explanations tailored for students!