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  • Question
  • A motorboat goes 8 km an hour in still water, but takes thrice as much time in going the same distance against the current than going with the current. Then find the speed of the current?


  • Options
  • A. 4 kmph
  • B. 6 kmph
  • C. 3 kmph
  • D. 2 kmph

  • Correct Answer
  • 4 kmph 

    Explanation

    Let the speed of current = 'C' km/hr

     

    Given the speed of boat in still water = 6 kmph

     

    Let 'd' kms be the distance it covers.

     

    According to the given data,

     

    Boat takes thrice as much time in going the same distance against the current than going with the current

     

    i.e,  d 8   -   C   =   3   ×   d 8   +   C

     

    ?   24   -   3 C   =   8   +   C ?   4 C   =   16 ?   C   =   4   kmph

     

    Hence, the speed of the current C = 4 kmph.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst

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    • Options
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