Problema Solution

The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 290 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.

Answer provided by our tutors

let speed of freight train be x

speed of passenger train = x+6

..

Passenger train distance = 280 miles

freight train 250 miles

..



the times taken for these distances is the same

280/(x+6)=250/x

280x=250(x+6)

280x=250x+1500

30x = 1500

x= 50 mph the speed of freight train.

x+6= 50+6 = 56mph = speed of passenger train