Question

    In still water, boat ‘X’ is three times as fast as boat

    ‘Y’. Boats ‘X’ and ‘Y’ are 240 km apart in a stream and are moving towards each other. They meet after 4 hours. What is the speed of boat ‘Y’ in still water, assuming they started at the same time?
    A 18 km/h Correct Answer Incorrect Answer
    B 15 km/h Correct Answer Incorrect Answer
    C 24 km/h Correct Answer Incorrect Answer
    D 10 km/h Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the still water speed of boat ‘Y’ = ‘y’ km/h

    Then, still water speed of boat ‘X’ = 3 × y = ‘3y’ km/h

    Let the speed of the stream = ‘x’ km/h

    One boat is moving upstream and the other downstream,

    So, effective relative speed = 3y + y = ‘4y’ km/h

    Now, 4y = 240 ÷ 4 = 60

    So, y = 60 ÷ 4 = 15

    Speed of boat ‘Y’ in still water = 15 km/h

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