Question

    A train 450 metre long takes 30 sec to cross a man

    running at a speed of 6 km/hr in the direction same to that of train. What is the speed of the train?
    A 45 km/hr Correct Answer Incorrect Answer
    B 40 km/hr Correct Answer Incorrect Answer
    C 35 km/hr Correct Answer Incorrect Answer
    D 60 km/hr Correct Answer Incorrect Answer
    E 75 km/hr Correct Answer Incorrect Answer

    Solution

    Let the speed of the train be x Relative speed = (x - 6) km/hr ⇒ (x - 6) = (450 × 18)/(30 × 5) ⇒ (x - 6) = (8100)/(150) ⇒ x – 6 = 54 ⇒ x = 54 + 6 = 60 km/hr

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