SOLUTION: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find

Algebra ->  Equations -> SOLUTION: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find       Log On


   

Question 34377: An express and local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Express trian = 2x
Loacl train = x
Equation:
50%2Fx-50%2F2x=1
50[(2x)-(x)]=(x)(2x)
50x=2x^2
2x^2-50x=0
x^2-25x=0
Factor:
x(x-25)=0
x=25
25(x)=50
Hence, one traint travels at 50mph and another at 25mph.
Paul.