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16 Sep 2014, 01:17
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A car traveled from town A to town B, covering a total distance of 200 miles. When the car reached the halfway point, the time was 9:00 am. What time did the car arrive at town B?
(1) The car started its journey at 7:00 am.
(2) The average speed of the car during the second half of the journey was 40 mph.
(1) The car started its journey at 7:00 am.
(2) The average speed of the car during the second half of the journey was 40 mph.
16 Sep 2014, 01:17
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Official Solution:
A car traveled from town A to town B, covering a total distance of 200 miles. When the car reached the halfway point, the time was 9:00 am. What time did the car arrive at town B?
(1) The car started its journey at 7:00 am.
This statement implies that the first 100 miles of the journey took 2 hours. However, we cannot assume that the second half of the journey was completed at the same pace. Therefore, this statement alone is insufficient.
(2) The average speed of the car during the second half of the journey was 40 mph.
Based on this statement, we can infer that the second half of the journey, covering 100 miles, took the car 100/40 = 2.5 hours. By adding this time to 9:00 am, we can determine the arrival time. Sufficient.
Answer: B
A car traveled from town A to town B, covering a total distance of 200 miles. When the car reached the halfway point, the time was 9:00 am. What time did the car arrive at town B?
(1) The car started its journey at 7:00 am.
This statement implies that the first 100 miles of the journey took 2 hours. However, we cannot assume that the second half of the journey was completed at the same pace. Therefore, this statement alone is insufficient.
(2) The average speed of the car during the second half of the journey was 40 mph.
Based on this statement, we can infer that the second half of the journey, covering 100 miles, took the car 100/40 = 2.5 hours. By adding this time to 9:00 am, we can determine the arrival time. Sufficient.
Answer: B
28 Apr 2023, 12:16
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
