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  • Question
  • In a river, the ratio of the speed of stream and speed of a boat in still water is 2 : 5 Again, ratio of the speed of stream and speed of an another boat in still water is 3 : 4. What is the ratio of the speeds of the first boat to the second boat in still water?


  • Options
  • A. 10 : 7
  • B. 15 : 8
  • C. 4 : 3
  • D. 5 : 4

  • Correct Answer
  • 15 : 8 

    Explanation

    For the first boat,
    Speed of stream : Speed of boat = 2: 5
    Let speed of stream be 2x km/h and speed of boat = 5x km/h

    Similarly, for the second boat
    Speed of stream be 3y km/h and speed of boat = 4y

    In both of the conditions, river is same.
    ? 2x = 3y
    ? x = 3y/2
    Thus, required ratio in speeds of boats in still water
    = Thus, required ratio in speeds of boats in still water
    = 5x : 4y = (5 x 3)y/2 : 4y = 15 : 8


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