Problema Solution

The speed of a train is 10 mph faster then the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 230 miles. Find the speed of each train.

Answer provided by our tutors

A' is slower. 'B' is faster.

'A' covers 220 miles, while 'B' covers 310 miles. 'B' gained 90 miles on 'A'. Since 'B' gains 18 miles on 'A' in each hour, it took (90/18) = 5 hours for 'B' to gain 90 miles on 'A', so both stated distances were covered in 5 hours.

Speed of 'A' = 220/5 = 44

Speed of 'B' = A+18 = 310/5 = 62