High School

In every 30 minutes, the time of a watch increases by 3 minutes. After showing the correct time at 5 am, what time will the watch show after 6 hours?

A) 10:54 am
B) 11:30 am
C) 11:36 am
D) 11:42 am

Answer :

Final answer:

After starting at the correct time at 5 am and gaining 3 minutes every 30 minutes, the watch would show C) 11:36 am after 6 hours.

Explanation:

In every 30 minutes, the time of a watch increases by 3 minutes. If the watch showed the correct time at 5 am, we need to calculate what time it will show after 6 hours.

First, we determine how many 30-minute intervals there are in 6 hours:

6 hours = 360 minutes

360 minutes / 30 minutes per interval = 12 intervals

Next, we calculate the total time gained by the watch:

3 minutes gained per interval

12 intervals

12 intervals

Total time gained = 3 minutes * 12 intervals = 36 minutes

Now, we add the time gained to the correct time:

5 am + 6 hours = 11 am

Adding 36 minutes to 11 am = 11:36 am

Hence, after 6 hours, the watch will show 11:36 am.

Answer:

30/3 = 360/x

30x = 1,080

x = 36 minutes

At 11:00 A.M., the watch will show 11:36 A.M.

The correct answer is C.