SOLUTION: An express train can ride 114 miles in the same time that a freight train can ride 96 miles. If the express train 27 mph faster than the freight train, find the speeds of the expr

Algebra ->  Human-and-algebraic-language -> SOLUTION: An express train can ride 114 miles in the same time that a freight train can ride 96 miles. If the express train 27 mph faster than the freight train, find the speeds of the expr      Log On


   

Question 31773: An express train can ride 114 miles in the same time that a freight train can ride 96 miles. If the express train 27 mph faster than the freight train, find the speeds of the express train and the freight train in mph. Your answers are expected to be integers. Put the express train's speed in the 1st box and the freight train's speed in the 2nd box. Put the unit mph after your answer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express train data:
distance=114; rate=(x+27); time=114/(x+27)
Freight train data:
distance=96; rate=x : time= 96/x
EQUATION:
Time = Time
96/x+=114/(x+27)
114x=96x+(96)(27)
18x=(96)(27)
x=16(9)
x=144mph (rate of the Freight train)
x+27=171mph (rate of the express train)
Cheers,
stan H.