Problema Solution

the speed of a passenger train is mph faster than the speed of a freight train. The passenger train travels 330 miles in teh same time it takes the freight train to travel 300 miles. Fine the speed of each train.

Answer provided by our tutors

The speed of a passenger train is mph faster than the speed of a freight train. The passenger train travels 330 miles in the same time it takes the freight train to travel 300 miles. Find the speed of each train.

let speed of freight train be x

speed of passenger train = x+1

..

Passenger train distance = 330 miles

freight train 300 miles

..

the times taken for these distances is the same

330/(x+1)=300/x

330x = 300x + 300

330x-300x=300

30x=300

x=300/30=10

let speed of freight train be x = 10 mph

speed of passenger train = x+1 = 10+1 mph = 11mph