Question

    A train 225 metre long takes 45 sec to cross a man

    running at a speed of 3 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 + 3) km/hr ⇒ (x + 3) = (225 × 18)/(45 × 5) ⇒ (x + 3) = (4050)/(225) ⇒ x + 3 = 18 ⇒ x = 18 – 3 = 15 km/hr

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