Question
A 125 m long train overtakes another 100 m long
train in 9 sec. if the speed of the slower train is 18 kmph, what is the speed of the faster train?Solution
Let the speed of the faster train = x kmph ∴ Relative speed of the trains = (x - 18) kmph ⇒(x - 18) x 5/18 m/sec. Distance = 125 + 100 = 225 m and time = 9 sec ∴ (x - 18)x 5/18 = 225 / 9 ⇒x - 18 = (225 x 18 ) / (5 x 9) = 90 ∴ x = 90 +18= 108 kmph.
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