Train X moves at an uniform speed from Powersdale to Quicksville; two stations 240 kilometers apart. Train Y starts from Powersdale precisely one hour after Train X departed (also from Powersdale) and, after two hours, comes to a point that Train X had passed 45 minutes previously.

Train Y now increases its speed by 5 kilometers per hour and it overtakes Train X as soon it reaches Quicksville.

Determine the original speed of both the trains.

(In reply to slightly different solution by Jer)

You might want to check.  Your solution states that one velocity is 9/8 the other, but you answer is 5/4.

Posted by Kenny M on 2007-04-05 22:37:42