Problema Solution
The speed of a passenger train is 12 MPH faster than the freight train. The passenger train travels 300 miles in the same time it takes the freight train to travel 240 miles. Find the speed of each train.
Answer provided by our tutors
let
v = the speed of the freight train, v>0
d1 = 240 mi the distance traveled by the freight train
v + 12 = the speed of the passenger train (12 mph faster than the freight train)
d2 = 300 mi the distance traveled by the passenger train
since speed = distance/time follows time = distance/speed
d1/v = d2/(v + 12)
240/v = 300/(v + 12)
by solving we find:
v = 48 mph
click here to see the step by step solution of the equation:
48 + 12 = 60 mph
the seed of the freight train is 48 mph while the speed of the passenger train is 60 mph.