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CAT 2023 Time, Speed and Distance — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Time, Speed and Distance

Difficulty

Hard

Question

Slot-1

The problem below consists of a question and two statements numbered 1 & 2. You have to decide whether the data provided in the statements are sufficient to answer the question. Rahim is riding upstream on a boat, from point A to B, at a constant speed. The distance from A to B is 30 km30\text{ km}. One minute after Rahim leaves from point A, a speedboat starts from point A to go to point B. It crosses Rahim's boat after 44 minutes. If the speed of the speedboat is constant from A to B, what is Rahim's speed in still water?

  1. The speed of the speedboat in still water is 30 km/hour30\text{ km/hour}.
  2. Rahim takes 33 hours to reach point B from point A.

Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.

Statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient.

Each statement alone is sufficient.

Both statements together are sufficient, but neither of them alone is sufficient.

Statements 1 & 2 together are not sufficient.

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