Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 55 miles per hour. The eastbound train travels at 75 miles per hour. How long will it take for the two trains to be 364 miles apart? Do not do any rounding.

The westbound train travels at 55 miles per hour. The eastbound train travels at 75 miles per hour.

Let t be the time taken by the trains

Distance = speed * time

Distance covered by westbound train D = 55 * t

Distance covered by eastbound train D = 75 * t

the two trains are 364 miles apart

So we add the distance and set it equal to 364

364 = 55t + 75t

364 = 130 t

Divide by 130 from both sides

t = 2.8 hours

it will take 2.8 hours for the two trains to be 364 miles apart