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?

1) 10:54 am
2) 11:30 am
3) 11:36 am
4) 11:42 am

Answer :

Final answer:

To find what time the watch will show after 6 hours, we calculate the total time gained by multiplying the number of 30-minute intervals in 6 hours by the amount of time the watch gains per interval, which is 36 minutes. Adding this to the initial time of 5 am results in the watch showing 11:36 am. Therefore the correct answer is: 3).

Explanation:

The watch gains time at a rate of 3 minutes for every 30 minutes that pass, and the student needs to determine what time the watch will show after 6 hours, given that it was showing the correct time at 5 am. To solve this, one must first calculate how many 30-minute intervals are in 6 hours, which is 12 intervals.

Since the watch gains 3 minutes every interval, it will gain a total of 12 intervals × 3 minutes per interval = 36 minutes. Adding these 36 minutes gained to the initial 5 am start time means it will be 5 am + 6 hours + 36 minutes = 11 hours and 36 minutes later. Thus, at 11 am plus 36 minutes, the watch will show 11:36 am.

Time calculation involves determining the duration, difference, or other properties of time intervals. This can include tasks such as addition, subtraction, conversion between different units of time (e.g., seconds to minutes, hours to days), and calculating rates or speeds.

Here are some common aspects of time calculation:

Addition and Subtraction: Adding or subtracting time intervals to/from a given time or duration.

Duration Calculation: Finding the time elapsed between two events or timestamps.

Time Conversion: Converting between different units of time (e.g., seconds, minutes, hours, days, weeks, months, years).

Rate Calculation: Determining rates or speeds involving time, such as speed in miles per hour or hourly rates of work.