Multiple choice

Directions: This data sufficiency problem consists of a question and two statements, labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Who won the race - the hare or the tortoise? Speed of hare was 80 kmph, but the tortoise was 100 km ahead when they started. (1) The hare finished the race in 6 hours. (2) The speed of hare is 60 kmph more than that of the tortoise.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both (1) and (2) together are sufficient, but none of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To determine the winner, we need the time taken by both. Statement 1 gives the hare's time. Statement 2 gives the speed relationship, which allows calculating the tortoise's speed. With both, we can find the distance and time for both to see who finishes first.

AI explanation

Statement 1 provides the hare's total travel time of 6 hours, which gives a total race distance of 80 kilometers per hour multiplied by 6 hours, equaling 480 kilometers, but we still need the tortoise's speed to find its finish time. Statement 2 provides the tortoise's speed by stating it is 60 kilometers per hour slower than the hare, making the tortoise's speed 20 kilometers per hour, but without the total distance, we cannot evaluate the tortoise's time. By combining both statements, the tortoise must travel the 480-kilometer distance plus its 100-kilometer head start at 20 kilometers per hour, taking 29 hours, which allows us to conclude the hare wins; thus both statements together are required.

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