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 hoursSolution
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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