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SSC Sample Paper SSC CGL - Sample Paper-29

  • question_answer
    A motorboat takes 2 h to travel a distance of 9 km down the current and it takes 6 h to travel the same distance against the current. What is the speed of the boat in still water in km/h?

    A) 3         

    B) 2        

    C) 1.5                               

    D) 1

    Correct Answer: A

    Solution :

    Let the speed of motorboat \[=x\,\text{km/h}\]c and the speed of water \[=y\,\text{km/h}\] By given condition,             \[\frac{9}{x+y}=2\] \[\Rightarrow \]   \[2x+2y=9\]                              ?(i) and       \[\frac{9}{x-y}=6\] \[\Rightarrow \]   \[6x-6y=9\]                                ?(ii) On solving Eqs. (i) and (ii), we get \[x=3\text{ km/h}\]and \[y=1.5\text{ km/h}\] Hence, the speed of boat \[=3\text{ km/h}\]                     


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