Question

A train 300 metre long takes 30 sec to cross a man running at a speed of 6 km/hr in the direction opposite to that of train. What is the speed of the train?

A 15 km/hr Correct Answer Incorrect Answer
B 18 km/hr Correct Answer Incorrect Answer
C 30 km/hr Correct Answer Incorrect Answer
D 20 km/hr Correct Answer Incorrect Answer
E 17 km/hr Correct Answer Incorrect Answer

Solution

Let the speed of the train be x Relative speed = (x + 6) km/hr ⇒ (x + 6) = (300 × 18)/(30 × 5) ⇒ (x + 6) = (5400)/(150) ⇒ x + 6 = 36 ⇒ x = 36 – 6 = 30 km/hr

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