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Railways Quantitative Aptitude Boats & Streams Sample Paper Boats and Streams Sample Test Paper-14

  • question_answer
    A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is:

    A)  10 km/h           

    B)  4 km/h

    C)  14 km/h           

    D)  6 km/h

    Correct Answer: A

    Solution :

    [a]        Let speed of the boat in still water be x km/h and Speed of the current be y km/h. Then, upstream speed \[=\left( xy \right)km/h\] and downstream speed \[=\left( x+y \right)km/h\] Now, \[\frac{24}{(x-y)}+\frac{28}{(x+y)}=6\]                                     ? (i) and \[\frac{30}{(x-y)}+\frac{21}{(x+y)}=\frac{31}{2}\]                         ? (ii) Solving (i) and (ii), we have x = 10 km/h and y = 4 km/h


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