Problema Solution

A passenger train traveled

120

miles in the same amount of time it took a freight train to travel

70

miles. The rate of the freight train was

30

miles per hour slower than the rate of the passenger train. Find the rate of the passenger train

Answer provided by our tutors

Let

v = the rate of the passenger train, v>=0

v - 30 = the rate of the freight train, v - 30 >=0, v>=30

Since speed(rate) = distance/time follows time = distance/speed:

120/v = 70/(v - 30)

........

click here to see the equation solved for v

........

v = 72 mph

The rate of the passenger train was 72 mph.