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 re: slightly different solution by Kenny M)

Correct but it's just an arithmetical typo in Jer's last line.

Jer's solution should be: Vy = 270/t = 270/6 = 45 km/hr, which is the requisite 9/8 ratio and in agreement with Charlie's solution.

Good work, people!

Posted by JayDeeKay on 2007-04-06 13:50:23