The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 240 miles.

Question

The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 240 miles. Find the speed of each train.

The speed of the passenger train is ____ mph.

The speed of the freight train is _____ mph.

Answer 1

Fright train's speed is xmph, passenger's train- x+6

Passenger train travels 270 ml for 270/x+6 hours

Fright train travels 240ml for 240/x hours

equation 270/x+6 = 240/ x

270x= 240x+ 1440

30 x=1440

x=48

x+6= 54 mph