Answer:
The correct option is b. 15
Step-by-step explanation:
We are given that a freight train travels at an average speed of 60 mph.
Also we are given that the average speed of passenger train is 72 mph.
We are also given that the freight train leaves 3 hours before passenger train. So the number of miles covered by freight train in 3 hours is:
miles.
Let X be the number of hours it takes the passenger train to catch up the freight train.
Therefore, we have:
![180 + 60 * X = 72 * X](https://img.qammunity.org/2019/formulas/mathematics/high-school/vbyifznoiuqcacv55txhhxnmn9v7al2muk.png)
![72X-60X = 180](https://img.qammunity.org/2019/formulas/mathematics/high-school/5tk0t0qf7t4lyms0u9zy1tlibg8opu5ys9.png)
![12X=180](https://img.qammunity.org/2019/formulas/mathematics/high-school/tihhdie1zr8hx77p85t0rizl0j7po6onur.png)
![X=(180)/(12)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ughx39ko5ghzawjjrlslxpox05utcqeorw.png)
![X=15](https://img.qammunity.org/2019/formulas/mathematics/high-school/v1512ecar2enky75bifa8ps9ei6zeme4eh.png)
Therefore, the passenger train will take 15 hours to catch up the freight train.