Question

The speed of train A is 8 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 270 miles. Find the speed of each train.

Answer 1

Let the speed of train A be x and the speed of train B be y.
x+8=y
\[speed=\frac{distance}{time}\]
\[time=\frac{distance}{speed}\]
For train A
\[time=\frac{distance}{speed}\]
\[time=\frac{230}{x}\]
For train B
\[time=\frac{distance}{speed}\]
\[time=\frac{270}{y}\]
\[time=\frac{270}{x+8}\]
Since the time taken are equal
\[\frac{230}{x}=\frac{270}{x+8}\]
Solve for x to find the speed of train A.
Substitute the value of x in
x+8=y to find the speed of train B.