Question

7.23. A freight train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?

Answer 1

40 miles in 60 minutes

Explanation:

1 hour has 60 minutes, and since the freight train travels 1 mile in 1.5 minutes, it can be said that the train travels 2 miles in 3 minutes (assuming a constant rate). This becomes a problem of equal ratios:

`(2)/(3)=(x)/(60)` , where the numerator refers to distance, and the denominator refers to the time

After cross multiplication, we find that 3x = 120, or x = 40.

Therefore, it takes 1 hour for the train to travel 40 miles

Answer 2

The number of miles will the train travel in 1 hour is 40 miles.

Explanation:

Given:

A freight train travels 1 mile in 1 minute 30 seconds.

Find:

The number of miles that the train will travel in 1 hour

Step 1 of 1

One minute 30 seconds is
`$(3)/(2)$` minutes, so the train's speed is

`$$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{(3)/(2) \text { minutes }} \\&=(2)/(3) \frac{\text { miles }}{\text { minute }}\end{aligned}$$`

There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance
`=(60$ minutes $) \cdot\left((2)/(3) \frac{\text { miles }}{\text { minute }}\right)$`

=40 miles.