Problema Solution

a freight train leaves boston at a speed of 60 km/h. two hours later, an amtrak train leaves Boston on a parallel track headed in the same direction at 90 km/h. How many hours will it take for the amtrak to catch up to the freight train?

Answer provided by our tutors

Let

v1 = 60 km/h the speed of the freight train

v2 = 90 km/h the speed of the Amtrak train

t = the time of the Amtrak train

t + 2 = the time of the freight train

Since distance = speed*time we can write:

v1*(t + 2) = v2*t

60(t + 2) = 90t

........

click here to see the equation solved for t

........

t = 4 hr

The Amtrak needs 4 hours to catch up to the freight train.