Question

Two trains leave stations 546 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 115 miles per hour. How long will it take for the two trains to meet?

Answer 1

It will take 2 hours 36 minutes for the two trains to meet.

Explanation:

The distance between the two trains is decreasing by
`95+115= 210`miles per hour, which can be written as
`(210 miles)/(1 hour)`.

So at this rate, the distance between the trains will be reduced to zero in:

`(546 miles)/((210 miles)/(1 hour) ) = 476 miles * (1 hour)/(210 miles)`

`= (546)/(210) = 2.6 hours`

Changing 2.6 hours to hours and minutes:

`2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes`

Therefore, it will take 2 hours 36 minutes for the two trains to meet.