SOLUTION: the speed of a freight train is 14 mph slower than that of passanger train.if the passenger train travels 400 miles in the time it take the freight train to travel 70 fewer miles ,

Question 562297: the speed of a freight train is 14 mph slower than that of passanger train.if the passenger train travels 400 miles in the time it take the freight train to travel 70 fewer miles ,what is the speed of the passenger train
Answer by mananth(16949) (Show Source): You can put this solution on YOUR website!
Freight train x 330 miles
Passenger train x+14 400 miles

330/x=400/(x+14)
330/x-400(x+14)
LCD = x(x+14) =
Multiply by LCD
330(x+14)-400x= 0
330x+4620-400*x =0
-70x+4620=0
-70x=-4620
/-70
x=66 speed of Freight train
x+14=> 80 speed of Passenger train