What is the speed of the train whose length is 210m I The train crosses another train of 300m length...........

Quantitative Aptitude ( CCS) Data Sufficiency

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What is the speed of the train whose length is 210m?

I. The train crosses another train of 300m length running in opposite direction in 10s

II. The train crosses another train running in the same direction at the speed of 60kmph in 30s.

If the data in statement I alone is sufficient to answer the question.

If the data in statement II alone is sufficient to answer the question.

If the data either in statement I alone or statement II alone are sufficient to answer the question.

If the data given in both I and II together are not sufficient to answer the question.

If the data in both the statements I and II together are necessary to answer the question.

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Explanation:

L1 = 210m(Given)
From Statement I, L2 = 300m
L1 + L2 = 210m +300m =510m
S1 + S2 = [D/T] = 510/10 = 51m/s
From Statement II,
S2 = 60kmph = 60*(5/18) = 50/3 m/s
S1 – S2 = 510/30 = 51/3 => S1-50/3 = 51/3
S1 = 101/3 m/s
Thus both the statements are required to answer the question.

Hence, option 5 is the correct answer.