Multiple choice

A turtle is crossing a field, how many meters total did he pass?(1) The average speed of the turtle is 2 meters per minute.(2) Had the turtle walked 1 meter per minute faster than his average speed it would have finished the same path 40 minutes earlier.

  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 statements TOGETHER are sufficient, but NEITHER statement 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

Let speed be v and distance be d. (1) v = 2. (2) d/(v+1) = d/v - 40/60. With both, we can solve for d. Neither alone is sufficient because (1) lacks time and (2) lacks the specific speed.

AI explanation

Statement 1 provides the average speed as 2 meters per minute but gives no time or distance information, so it is insufficient alone. Statement 2 provides a proportional relationship using a hypothetical speed, but without the actual average speed from statement 1, the exact distance cannot be calculated. Combining both statements, let the time be T, so the distance D equals 2T, and the second statement gives D = 3(T - 40), and equating them as 2T = 3T - 120 yields T = 120 minutes, making the total distance 2 times 120 = 240 meters.

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