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.Com
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) (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.
RELATED QUESTIONS
An express train can ride 114 miles in the same time that a freight train can ride 96... (answered by Paul)
An express train travels 150 miles in the same time a freight train goes 100 miles. Find... (answered by josmiceli)
An express train travels 150 miles in the same time that a freight train travels
100... (answered by mananth)
an express train travels 150 miles in the same direction that a freight train travels 100 (answered by lynnlo)
an express train traveled 600 miles in the same amount of time it takes a freight train... (answered by hamsanash1981@gmail.com)
A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express... (answered by Fombitz)
A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express... (answered by lwsshak3)
Set up a table and solve using an Algebraic Equation.
A passenger train can travel... (answered by Alan3354)
an express train travel 150 km in the same time that a freight train travel 100 km if the (answered by ikleyn)