Multiple choice

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. (45, 80)

  2. (45, 75)

  3. (50, 90)

  4. (50, 80)
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A Correct answer
Explanation

Speed = 18 km/h = 5 m/s. P = 5 * 9 = 45 m. P + Q = 5 * 25 = 125 m. Q = 125 - 45 = 80 m. So (P, Q) = (45, 80).

AI explanation

Using the formula distance equals speed multiplied by time, first convert the speed to 5 m/s. The train length P equals 5 m/s multiplied by 9 s, yielding 45 m. The platform length Q is the total crossing distance 125 m minus the train length 45 m, giving 80 m. This gives the pair (45, 80).

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