Question

Two trains leave the station at the same time, one heading east and the other heading west. The eastbound train travels at 75 miles per hour. The westbound train travels at 95 miles per hour. How long will it take for the two trains to be 204 miles apart? Do not do any rounding.

Answer 1

Explanation:

The two trains are moving apart from each other, so we can add their speeds to find their relative speed:

Relative speed = 75 + 95 = 170 miles per hour

We want to know how long it will take for the trains to be 204 miles apart. We can use the formula:

distance = rate × time

to solve for the time. Let t be the time in hours:

204 = 170t

Solving for t, we get:

t = 204/170

t ≈ 1.2 hours

Therefore, it will take approximately 1.2 hours for the two trains to be 204 miles apart.