Multiple choice

Passage

The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the speed of boat in still water? Statement I:. The boat can cover 25 km downstream distance in 5 hours. Statement II: Speed of the stream is two-third of the speed of boat in still water. Statement III: The boat can cover 25 km upstream distance in 10 hours.

  1. I and III together

  2. Only II

  3. I and II together

  4. I and either II or III

  5. Any two statements together
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Downstream speed = boat + stream. Upstream speed = boat - stream. Statement I: downstream speed = 25/5 = 5 km/h. Statement III: upstream speed = 25/10 = 2.5 km/h. Statement II: stream = (2/3) × boat. Combining I and III: boat = (5 + 2.5)/2 = 3.75 km/h. Combining I and II: 5 = boat + (2/3)boat, so boat = 3 km/h. Any two statements together are sufficient. Option E is correct.

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