<PRE><B>Question 307199</B>
The speed of a passenger train is 18 mph faster than the speed of a freight train. The passenger train travels 320 miles in the same time it takes the freight train to travel 230 miles.  What is the speed of each train?


let speed of freight train be x mph

freight train travels 230 miles

time taken = 230/x
.
passenger train speed will be x+18 mph

time taken = 320/x+15

these two times are equal

230/x = 320 / x+18

230(x+18)=320*x

230x +4140 =320x

-90x=-4140

x= 46 mph the speed of the freight train

46+18 = 64 mph is the speed of the passenger train

Ananth


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