Let's solve each of these
speed and distance word problems step by step, using the formula:
>
Distance = Speed × Time
> or rearranged:
>
Time = Distance ÷ Speed
>
Speed = Distance ÷ Time
We'll make sure all units are consistent (especially converting minutes to hours when needed).
---
1. Yesterday I drove 150 minutes at a speed of 100 miles/h. How many miles did I drive?
-
Speed = 100 miles per hour
-
Time = 150 minutes → convert to hours:
$$
\frac{150}{60} = 2.5 \text{ hours}
$$
-
Distance = Speed × Time
$$
100 \times 2.5 = 250 \text{ miles}
$$
✔ Answer: 250 miles
---
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?
-
Speed = 50 miles/h
-
Time = 90 minutes = $ \frac{90}{60} = 1.5 $ hours
-
Distance = 50 × 1.5 = 75 miles
✔ Answer: 75 miles
---
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?
- First, find walking speed in
miles per hour:
- 0.75 miles in 30 minutes → in 60 minutes (1 hour), it would be:
$$
0.75 \times 2 = 1.5 \text{ miles per hour}
$$
- Now use:
$$
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1.5}{1.5} = 1 \text{ hour}
$$
✔ Answer: 1 hour
---
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?
- First, convert speed to
miles per hour:
- 0.4 miles in 5 minutes → how many in 60 minutes?
$$
\frac{60}{5} = 12 \text{ intervals of 5 minutes}
$$
$$
0.4 \times 12 = 4.8 \text{ miles per hour}
$$
- Now calculate time:
$$
\text{Time} = \frac{9.6}{4.8} = 2 \text{ hours}
$$
✔ Answer: 2 hours
---
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?
-
Distance = 7,200 miles
-
Speed = 600 miles/h
-
Time = $ \frac{7200}{600} = 12 $ hours
✔ Answer: 12 hours
---
6. The distance between my house and my school is 8 miles and takes 10 minutes by bus. How fast is the bus?
-
Distance = 8 miles
-
Time = 10 minutes = $ \frac{10}{60} = \frac{1}{6} $ hours
-
Speed = $ \frac{8}{\frac{1}{6}} = 8 \times 6 = 48 $ miles per hour
✔ Answer: 48 miles per hour
---
✔ Final Answers:
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'd like this formatted as a printable worksheet with space for working!
Parent Tip: Review the logic above to help your child master the concept of distance rate time problems worksheet.
