SOLUTION: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles per hour faster than the speed of

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles per hour faster than the speed of      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 117536: A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles per hour faster than the speed of the freight train, find the speed of each.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A passenger train can travel 325 miles in the same time a freight train takes to travel 200 miles. If the speed of the passenger train is 25 miles per hour faster than the speed of the freight train, find the speed of each.
-----------------
Passenger Train DATA:
Distance = 325 miles ; Rate = x + 25 mph ; Time = d/r = 325/(x+25) hrs.
-----------
Freight Train DATA:
Distance = 200 miles ; Rate = x mph ; Time = d/r = 200/x hrs.
-------------
EQUATION:
time = time
325/(x+25) = 200/x
325x = 200(x+25)
125x = 200*25
x = 200/5
x = 40 mph (Freight train Rate)
x+25 = 65 mph ( Passenger train Rate)
================
Cheers,
Stan H.