Train B travels 15 mph faster than train A. Train A travels 150 miles in the same time it takes Train B to travel 180 miles. Find the speed of both trains.

Train B travels 15 mph faster than train A. Train A travels 150 miles in the same time it takes Train B to travel 180 miles. Find the speed of both trains.
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If A is train A’s speed then train B’s speed is A+15. Time t for A to go 150 miles is 150/A, which is the same as 180/(A+15) for B to go 180 miles. 150/A=180/(A+15), 5/A=6/(A+15), 5(A+15)=6A, 5A+75=6A, A=75mph, B=90mph. (t=2hrs.)

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