Multiple choice

A watch is showing right time at $9$ pm. This watch gains $10$ minutes in every $24$ hours. What will be the time shown next day by the watch when the correct time is $2$ am?

  1. $02:00:24$ am
  2. $02:00:48$ am
  3. $02:02:05$ am
  4. $02:02:30$ am
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The watch gains 10 minutes in 24 hours (1440 minutes). The gain per minute is 10/1440 = 1/144. From 9 pm to 2 am is 5 hours (300 minutes). The gain is 300 / 144 = 2.0833 minutes, which is 2 minutes and 5 seconds.

AI explanation

The time elapsed in the real world from 9 pm to 2 am the next day is exactly 5 hours. Since the watch gains 10 minutes every 24 hours, we use the proportionality method to find the watch's elapsed time: (10 * 5) / 24, which equals 25/12 minutes or 2 minutes and 5 seconds. Adding this gain to the actual elapsed time of 5 hours, the watch will show 2:02:05 am.