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Question

A train crosses a signal post in X seconds. What is the length of the train?
(I) The train crosses a platform of 100 metres in Y seconds
(II) The train is running at the speed of 80 km/hr.


A
Statement (I) alone is sufficient, but statement (II) alone is not sufficient.
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B
Statement (II) alone is sufficient, but statement (I) alone is not sufficient.
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C
Both statements together are sufficient, but neither statement alone is sufficient.
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D
Each statement alone is sufficient.
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Solution

The correct option is D Each statement alone is sufficient.
Let the length of the train be 'L' m.
Speed of the train $$=\frac {L}{X}$$
(I) $$\Rightarrow \frac {L}{X}=\frac {L+100}{Y}\Rightarrow L=\frac {100X}{Y-X}$$
(II) $$\Rightarrow L=80\times \frac {5}{18}X=\frac {200X}{9}$$
Therefore, each statement alone is sufficient to answer the question.

Logical Reasoning

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