Multiple choice

Passage

Each of the questions below consists of a question and 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. Read all the statements and give answer:

Find the respective ratio of the time taken by the boat to travel 96 Km upstream and 90 Km in still water. Statement I: Speed of the boat in still water is 12 km/hr more than the speed of the stream. Statement II: The boat can go 90 Km downstream and 60 Km upstream in 10 hours.

  1. Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions.

  2. Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

  4. Either statement I or statement II by itself is sufficient to answer the question.

  5. Statements I and II taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We need upstream speed, still water speed, and time ratio. From I: Still water speed = stream speed + 12. Two unknowns, one equation - insufficient. From II: 90/(b+s) + 60/(b-s) = 10, where b = boat speed, s = stream speed. Two unknowns, one equation - insufficient. Combining: b = s + 12 from I, substitute into II to solve for b and s, then find required ratio. Both needed.

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