Question

    A boat covers 72 km upstream and 108 km downstream in 6

    hours and 4.5 hours, respectively. Find the time taken by the same boat to cover 150 km in still water.
    A 12.33 hrs Correct Answer Incorrect Answer
    B 5.33 hrs Correct Answer Incorrect Answer
    C 8.33 hrs Correct Answer Incorrect Answer
    D 10.33 hrs Correct Answer Incorrect Answer

    Solution

    ATQ, Let speed of the Boat in still water be ‘x’ km/h and speed of the stream be ‘y’ km/h Upstream speed of boat = (x – y) = (72/6) = 12 km/h --------- (I) Downstream speed of boat = (x + y) = (108/4.5) = 24 km/h ---------- (II) On adding equation (I) and equation (II), we have: 2x = 36 Or, x = 18 So, speed of the Boat in still water = 18 km/h Therefore, time taken by the Boat to cover 150 km in still water = (150/18) = 8.33 hours

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