Question

The speed of train A is 12 mph slower than the speed of train B. Train A travels 210 miles in the same time it takes train B to travel 270 miles. Find the speed of each train.

the speed of A train is ?
the speed of B train is?

Answer 1

Let the speed of train B be x, then speed of A will be x-12.
Time taken by A = 230/(x-12)
Time taken by B = 290/x
Given that the time taken by train A = Train B
Then, 230/(x-12)=290/x
23x=29x-349
6x=349
x=58
Therefore, the speed of the train A is (x-12, 58-12=46) 46 and Train b is 58

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