The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 260 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.

Step-by-step explanation:

let speed of freight train be x

speed of passenger train = x+6

Passenger train distance = 280 miles

freight train 250 milesthe 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.