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    Question

    A boat covers 180 km each in upstream and downstream in

    a total time of 10 hours. It also takes 5 hours to travel 40 km upstream and 140 km downstream. How far will the boat travel in still water in 6 hours 20 minutes?
    A 220 km Correct Answer Incorrect Answer
    B 150 km Correct Answer Incorrect Answer
    C 266 km Correct Answer Incorrect Answer
    D 180 km Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let speed of boat in upstream and downstream be тАШxтАЩ km/h and тАШyтАЩ km/h, respectively. So, 180/x + 180/y = 10тАжтАжтАжтАж..(1) And, 40/x + 140/y = 5тАжтАжтАжтАжтАжтАж.(2) Solving equation (1) and (2), we get x = 36 and y = 48 Speed of boat in still water = (36 + 48)/2 = 42 km/h 6 hour 20 minutes = 6 + 20/60 = 19/3 hours Desired distance = (19/3) ├Ч 42 = 266 km

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