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------------------------------------------------ In every 30 minutes, the time on a watch increases by 3 minutes. After setting the correct time at 5 a.m., what time will the watch show after 6 hours?

A. 11:36 a.m.
B. 10:54 a.m.
C. 11:42 a.m.
D. 11:30 a.m.

To find the display time on a watch that gains 3 minutes every 30 minutes after setting it at 5 a.m. and waiting for 6 hours, calculate the total gain and add it to the initial time, resulting in a display time of 11:36 a.m.The correct answer is a. 11:36 a.m.

Explanation:

The question involves understanding the concept of time dilation in a practical scenario where a watch gains an additional 3 minutes for every 30 minutes that pass. To solve this, first, we have to calculate how much time will actually pass in 6 hours according to the watch and then adjust this gain to find the correct display time on the watch.

Step 1: Determine the number of 30-minute intervals in 6 hours. Since there are 60 minutes in an hour, 6 hours contain 12 30-minute intervals.

Step 2: Calculate the time gain. For each 30-minute interval, the watch gains 3 minutes, so for 12 intervals, the gain is 12 * 3 = 36 minutes.

Step 3: Add this gain to the initial 5 a.m. start time. 6 hours from 5 a.m. is 11 a.m., and adding the extra 36 minutes gives a time of 11:36 a.m.

The correct answer is a. 11:36 a.m., which is the time the watch will show after 6 hours have passed.