Multiple choice

Directions: The following question has two statements, (1) and (2). Answer the question using the following instructions: What was John's average driving speed in miles per hour during a 15-minute time interval? (1) He drove 10 miles during this interval. (2) His top speed was 50 miles per hour and his lowest speed was 35 miles per hour during this interval.

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

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

  3. Both (1) and (2) together are sufficient but neither of them alone is sufficient

  4. Both independently are sufficient

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

Average speed is total distance divided by total time. Statement (1) gives distance (10 miles) and time (15 minutes = 0.25 hours), so speed = 10 / 0.25 = 40 mph. Statement (2) provides speed bounds but not the actual distance or time, so it is insufficient.

AI explanation

Average speed is defined as total distance divided by total time. Statement 1 provides both the exact distance of 10 miles and the exact time of 15 minutes, allowing you to calculate the average speed directly as 10 divided by 0.25 hours. Statement 2 only gives the maximum and minimum speeds, which do not determine the exact average speed. Therefore, statement 1 alone is sufficient.

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