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Train Length and Platform Length

CMAT 2023 · Quantitative Techniques & Data Interpretation · Easy · Speed Time Distance

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A train running at 18 km per hour crosses a mark on the platform in 9 seconds and takes 25 seconds to cross the platform. If P is the length of the train and Q is the length of the platform in meters, then (P, Q) =

  1. A.

    (45, 80)

  2. B.

    (45, 75)

  3. C.

    (50, 90)

  4. D.

    (50, 80)

Answer

A

Explanation

Speed = 18×518=518 \times \frac{5}{18} = 5 m/s. Length of train P=5×9=45P = 5 \times 9 = 45 meters. Time to cross platform = 2525 seconds ⇒P+Q=5×25=125\Rightarrow P + Q = 5 \times 25 = 125. Q=125−45=80Q = 125 - 45 = 80 meters. Thus, (P,Q)=(45,80)(P, Q) = (45, 80).

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