Answer :
Final answer:
To find the time the fast-running watch will display after 6 hours, calculate the total time gained (12 segments of 3 minutes each, totaling 36 minutes) and add it to the starting time of 5 am, resulting in 11:36 am.
Explanation:
The question involves calculating the time displayed on a fast-running watch after 6 hours, given that the watch gains 3 minutes every 30 minutes. Starting at 5 am, we must first find out how many 30-minute segments are in 6 hours, and then calculate the total time gained by the watch during this period.
6 hours is equivalent to 12 thirty-minute segments. The watch gains 3 minutes in each segment, so in 12 segments it will gain 12 x 3 minutes, which is 36 minutes. We add this to the starting time, so the final time the watch will display is 5 am + 6 hours + 36 minutes = 11:36 am.
