Speed and Distance Word Problems worksheet for students to solve real-world math scenarios.

Sure! Let’s solve each of the Speed and Distance Word Problems step by step. We’ll use the basic formula:

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

We must pay attention to units — especially converting minutes to hours (since speed is usually in miles per hour).

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Problem 1:

> Yesterday I drove 150 minutes at a speed of 100 miles/h. How many miles did I drive?

Step 1: Convert minutes to hours.
150 minutes = 150 ÷ 60 = 2.5 hours

Step 2: Use Distance = Speed × Time
Distance = 100 mph × 2.5 h = 250 miles

✔ Answer: 250 miles

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Problem 2:

> A bird can fly at a speed of 50 miles/h. If the bird flies for 90 minutes, what distance will it have flown?

Step 1: Convert 90 minutes to hours.
90 ÷ 60 = 1.5 hours

Step 2: Distance = Speed × Time
= 50 mph × 1.5 h = 75 miles

✔ Answer: 75 miles

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Problem 3:

> I usually walk at a speed of 0.75 miles per 30 minutes. How long will it take me to walk from my house to the supermarket 1.5 miles down the road?

Step 1: Find walking speed in miles per hour.

If you walk 0.75 miles in 30 minutes, then in 60 minutes (1 hour), you’d walk:
0.75 miles × 2 = 1.5 miles per hour

Step 2: Use Time = Distance ÷ Speed
Time = 1.5 miles ÷ 1.5 mph = 1 hour

✔ Answer: 1 hour

*(Alternatively, since 0.75 miles takes 30 minutes, then 1.5 miles (double the distance) takes 60 minutes — same answer.)*

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Problem 4:

> Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 9.6 miles?

Step 1: Find speed in miles per hour.

0.4 miles per 5 minutes → how many miles per 60 minutes?

Number of 5-minute intervals in 60 minutes = 60 ÷ 5 = 12
So, speed = 0.4 × 12 = 4.8 miles per hour

Step 2: Time = Distance ÷ Speed
= 9.6 miles ÷ 4.8 mph = 2 hours

✔ Answer: 2 hours

*(Alternative: Since 0.4 miles takes 5 minutes, then 9.6 miles is 9.6 ÷ 0.4 = 24 intervals of 5 minutes → 24 × 5 = 120 minutes = 2 hours.)*

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Problem 5:

> The distance between 2 cities is 7,200 miles. How long will it take a plane that flies at 600 miles/h to travel between the 2 cities?

Step 1: Use Time = Distance ÷ Speed
Time = 7,200 miles ÷ 600 mph = 12 hours

✔ Answer: 12 hours

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Problem 6:

> The distance between my house and my school is 8 miles and takes 10 minutes by bus. How fast is the bus?

Step 1: Convert time to hours.
10 minutes = 10 ÷ 60 = 1/6 hour ≈ 0.1667 hours

Step 2: Speed = Distance ÷ Time
= 8 miles ÷ (1/6) h = 8 × 6 = 48 miles per hour

✔ Answer: 48 miles per hour

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## ✔ Final Answers Summary:

1. 250 miles
2. 75 miles
3. 1 hour
4. 2 hours
5. 12 hours
6. 48 miles per hour

Let me know if you want these explained with diagrams or formulas again!