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Discussion :: Boats and Streams

  1.  A boat takes a total time of three hours to travel downstream from P and Q and upstream back from Q to P. What is the speed of the boat in still water?

     I . The speed of the river current is 1 km per hour.

     II.The distance between P and Q is 4 km.

     

    2. A.

    I alone sufficient while II alone not sufficient to answer
    B.

    II alone sufficient while I alone not sufficient to answer
    C.

    Either I or II alone sufficient to answer
    D.

    Both I and II are not sufficient to answer
    E.

    Both I and II are necessary to answer

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    Answer : Option E

    Explanation :

    I. Speed of the current = 1 km/hr.

     

    II. PQ = 4 km.

     

    Let the speed of the boat in still water be x km/hr. Then,

     

    \( \frac { 4 } { (X+1 )} +\)\( \frac { 4 } { (X-1 )}=3\)This gives x.

     

     

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