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Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L ?

Correct Answer: 2 : 1

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl = Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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