Question

Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?

Do not do any rounding.

Answer 1

2.6 hours ( or 2 hours 36 minutes).

Explanation:

The combined speed is 70+80 = 150 mph.

Speed = distance / time, so time = distance / speed.

So the time when they will meet

= 390 / 150

= 2.6 hours.

Answer 2

Let's denote:

x: the time both trains traveled.

Then, we have:

70x + 80x = 390

=> 150x = 390

=> x = 390/150 = 2.6 hour