Multiple choice

A delivery van traveled from City A to City B at a constant average speed during each half of the trip, covering a total distance of 240 miles. When the van reached the halfway point, the time was 10:30 AM. What time did the van arrive at City B? (1) The van started its journey at 8:30 AM. (2) The average speed during the second half of the trip was 60 mph

  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
B Correct answer
Explanation

The total distance is 240 miles. The halfway point is 120 miles. We know the time at the halfway point (10:30 AM). To find the arrival time at City B, we need the speed for the second half of the trip. Statement (2) provides this speed (60 mph). With distance (120 miles) and speed (60 mph), we can calculate the time taken for the second half (2 hours), thus determining the arrival time. Statement (1) is not needed.

AI explanation

Statement two provides the second half speed of 60 mph, and since the halfway point is 120 miles from the start, it takes exactly 2 hours to complete the second half. Adding this 2 hours to the 10:30 AM clock time directly gives an arrival time of 12:30 PM. Statement one only tells us the first half took 2 hours, meaning the first half speed was 60 mph, but without knowing the second half speed we cannot determine the arrival time, so only statement two is sufficient.

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