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      Question

      The question consists of two statements numbered “I

      and II” given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. The speed of boat Y in still water is equal to the upstream speed of boat X. Determine the speed of boat X in still water. Statement I: The downstream speed of boat X is 4 km/hr more than the downstream speed of boat Y. The upstream speed of boat X is 16 km/hr. Statement II: Boat Y can cover 120 km downstream in 6 hours
      A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
      B The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question Correct Answer Incorrect Answer
      C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
      D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
      E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

      Solution

      ATQ, Let the speed of boat 'X' in still water and the speed of the current be 'x' km/hr and 'y' km/hr respectively. Therefore, speed of boat 'Y' = (x – y) km/hr Statement I: (x – y) – (x – y – y) = 4 Or, y = 4 km/hr Therefore, speed of boat ‘X’ in still water = 16 + 4 = 20 km/hr So, data in statement I alone is sufficient to answer the question. Statement II: 120/(x – y + y) = 6 x = 20 Therefore, speed of boat ‘X’ in still water = 20 km/hr So, data in statement II alone is sufficient to answer the question. So, data either in statement I alone or in statement II alone are sufficient to answer the question.

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