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      Question

      The ratio of the speed of boat тАШAтАЩ in still water,

      the speed of boat тАШBтАЩ in still water and the speed of the current is 7:5:2, respectively. If the time taken by boat тАШAтАЩ to travel (6D тАУ 30) km downstream is equal to the time taken by boat тАШBтАЩ to travel (D + 60) km upstream, then find the value of тАШDтАЩ.
      A 60 Correct Answer Incorrect Answer
      B 80 Correct Answer Incorrect Answer
      C 70 Correct Answer Incorrect Answer
      D 75 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let, the speeds of boat тАШAтАЩ and boat тАШBтАЩ, in still water and the speed of the current be 7x km/hr, 5x km/hr and 2x km/hr, respectively. According to the question, (6D тАУ 30)/(7x + 2x) = (D + 60)/(5x тАУ 2x) Or, 18D тАУ 90 = 9D + 540 Or, 9D = 630 Or, D = 70

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