Problems on Trains | Arithmetic aptitude | Discussion Page

A trian crosses a pole in $10$ seconds. What is the length of the train ?

I. The train crosses another train running in opposite direction with a speed of $80$ km/hr in $22$ seconds.

II. The speed of the train is $108$ km/hr

A) I alone sufficient while II alone not sufficient to answer

B) II alone sufficient while I alone not sufficient to answer

C) Either I or II alone sufficient to answer

D) Both I and II are not sufficient to answer

E) Both I and II are necessary to answer

Answer:

Option B

Explanation:

Time taken to cross a pole $=\frac{Length\quad of\quad train}{Speed\quad of\quad train}$ $\Rightarrow 10$ $=\frac{Length\quad of\quad train}{\left(108\times\frac{5}{18}\right)}$

$\Rightarrow$ Length of the train $=300$ m.

Clearly, II is sufficient to get the answer.

Also, I is not sufficient to get the answer.

$\therefore$ The correct answer is (B).

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Answer:

Explanation: