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      Question

      In still water, boat ‘X’ is three times as fast as boat

      ‘Y’. Boats ‘X’ and ‘Y’ are 240 km apart in a stream and are moving towards each other. They meet after 4 hours. What is the speed of boat ‘Y’ in still water, assuming they started at the same time?
      A 18 km/h Correct Answer Incorrect Answer
      B 15 km/h Correct Answer Incorrect Answer
      C 24 km/h Correct Answer Incorrect Answer
      D 10 km/h Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the still water speed of boat ‘Y’ = ‘y’ km/h

      Then, still water speed of boat ‘X’ = 3 × y = ‘3y’ km/h

      Let the speed of the stream = ‘x’ km/h

      One boat is moving upstream and the other downstream,

      So, effective relative speed = 3y + y = ‘4y’ km/h

      Now, 4y = 240 ÷ 4 = 60

      So, y = 60 ÷ 4 = 15

      Speed of boat ‘Y’ in still water = 15 km/h

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