<PRE><B>Question 524011</B>
The rate of a passenger train exceeds the rate of a freight train by 20 mph. It takes the passenger train 1/2 as much time to travel 160 miles as it does the freight train. Find the rate of each train.
**
let x=rate of speed of freight train
x+20=rate of speed of passenger train
Travel time=distance/rate of speed
..
160/x=2(160/(x+20)
160x+3200=320x
160x=3200
x=3200/160=20
x+20=40
ans:
rate of speed of freight train=20 mph
rate of speed of passenger train=40 mph</PRE>