Train Problem Leaving the Station at the Same Time at Different Speeds

Question

Two trains leave stations 330 miles apart at the same time and travel toward each other. One trains travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?

Answer 1

Let the train at the origin = 65 mph and the train at 330 miles = 85 mph. Let t = time in hours.

Train1: x = 65t Train2: x = 330 - 85t

Equate their distance in terms of x: 65t = 330 - 85t or 150t = 330

Then

t = 2.2 hours