What is the ratio of speed of the boat in still water and speed of the stream? Statement I: The boat takes 3 hours to travel 54 km downstream. Statement II: The ratio of downstream and upstream speed…

Question

What is the ratio of speed of the boat in still water and speed of the stream? Statement I: The boat takes 3 hours to travel 54 km downstream. Statement II: The ratio of downstream and upstream speeds is 4:3.

PYQPulse · Accepted Answer

Statement II is alone sufficient to answer the question.

PYQPulse · Answer

Explanation: Let the speed of the boat in still water and speed of the stream be x km/hr and y km/hr respectively. Statement I: According to the question, [54/(x+y)] = 3 x + y = 18--------(i) Using this we cannot find the required speeds. Statement II: According to the question, [(x+y)/(x-y)] = 4/3 3(x+y) = 4(x-y) x/y = 7/1 Thus, Statement II is sufficient to answer the question.

What is the ratio of speed of the boat in still water and speed of the stream? Statement I: The boat takes 3 hours to travel 54 km downstream. Statement II: The ratio of downstream and upstream speeds is 4:3.

Answer: B. Statement II is alone sufficient to answer the question.

Explanation