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Question

In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly which statement/s are sufficient to find the answer .

What is the speed of boat in still water?

Statement I: The boat can cover 16 km downstream distance in 2 hours.

Statement II: Speed of the stream is two-fifth the speed of boat in still water.

Statement III: The boat can cover 24 km upstream distance in 6 hours.

A I and III together Correct Answer Incorrect Answer
B Only II Correct Answer Incorrect Answer
C I and II together Correct Answer Incorrect Answer
D I and either II or III Correct Answer Incorrect Answer
E Any combination of 2 statements can give the required result Correct Answer Incorrect Answer

Solution

Let speed of boat = u, and stream = v From I: u + v= 16/2 = 8 km/hr From II: v = 2u/5 From III: u – v = 24/6 = 4 So solving I and II ‘u’ can be found. Similarly by solving II and III and by solving I and III

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