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  • Question
  • A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?


  • Options
  • A. 7:4
  • B. 11:4
  • C. 4:7
  • D. 8:3

  • Correct Answer
  • 8:3 

    Explanation

    Let the speed of the boat upstream be p kmph and that of downstream be q kmph

     

    Time for upstream = 8 hrs 48 min =  8 4 5 hrs

     

    Time for downstream = 4 hrs

     

    Distance in both the cases is same.

     

    => p x   8 4 5 = q x 4

     

    => 44p/5 = 4q

     

    => q = 11p/5

     

     Now, the required ratio of Speed of boat : Speed of water current

     

    q + p 2 : q - p 2

     

    => (11p/5 + p)/2  : (11p/5 - p)/2

     

    => 8 : 3

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