Multiple choice

A clock is set right at 10 am. The clock gains 10 minutes in a day. What will be the true time when the watch indicates 3 pm the next day?

  1. 12 minutes past 2 pm

  2. 45 minutes past 2 pm

  3. 32 minutes past 2 pm

  4. 48 minutes past 2 pm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The clock gains 10 minutes in 24 hours. From 10 am to 3 pm the next day is 29 hours. The gain in 29 hours is (10/24) * 29 = 290/24 = 12.0833 hours, which is 12 minutes and 5 seconds. The true time is 3 pm minus 12 minutes and 5 seconds, which is 47 minutes and 55 seconds past 2 pm. Option D is the closest approximation.

AI explanation

The faulty clock runs fast, taking only 1450 actual minutes to complete a 24-hour cycle instead of the true 1440 minutes. From 10 am to 3 pm the next day, the faulty clock advances exactly 27 hours, which equals 1620 minutes. To find the true elapsed time, we solve the proportion 1620 divided by 1450 equals True Time divided by 1440, which yields exactly 1608 true minutes. Dividing 1608 true minutes by 60 converts it to 26 hours and 48 minutes, meaning exactly 48 minutes past 2 pm.

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