Question 12

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) = ___________ .

Solution

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Speed of train = 18 km/hr = 5 m/s

Let the length of train be 'P'

It is given,

$$\frac{P}{5}=9$$

P = 45m

Let the length of platform be 'Q

It is given,

$$\frac{P+Q}{5}=25$$

P+Q = 125

Q = 125 - 45 = 80m

(P, Q) = (45, 80)

The answer is option A.

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