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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

Explanation:

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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