Respuesta :
Answer:
40 miles in 60 minutes
Step-by-step 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:
[tex]\frac{2}{3}=\frac{x}{60}[/tex] , 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:
The number of miles will the train travel in 1 hour is 40 miles.
Step-by-step 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 [tex]$\frac{3}{2}$[/tex] minutes, so the train's speed is
[tex]$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{\frac{3}{2} \text { minutes }} \\&=\frac{2}{3} \frac{\text { miles }}{\text { minute }}\end{aligned}$[/tex]
There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance [tex]=(60$ minutes $) \cdot\left(\frac{2}{3} \frac{\text { miles }}{\text { minute }}\right)$[/tex]
=40 miles.
