Multiple choice

A train crosses two persons travelling at the rates of 6 km/hr and 8 km/hr in the same direction in 12 sec and 16 sec, respectively. Find the speed of the train.

  1. 14 km/hr

  2. 20 km/hr

  3. 16 km/hr

  4. 24 km/hr

  5. None of these

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A Correct answer
Explanation

Let the speed of the train be x km/hr. So, speed of the train with first person in the same direction = (x - 6) km/hr  And speed of the train with second person in the same direction = (x - 8) km/hr So, the length of the train = (x - 6) * 12/60 = (x - 8) * 16/60 After solving, we get  x = 14 So, speed of the train = 14 km/hr