A clock is set right at 8 amThe clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?
Detailed Explanation:
The clock gains 10 minutes in 24 hours, meaning it shows 24 hours 10 minutes when the true time is 24 hours. From 8 a.m. to 1 p.m. next day, the elapsed time shown on the clock is 29 hours.
Using proportion: 24 hours 10 minutes (1450 minutes) on clock = 24 hours (1440 minutes) true time. Therefore, 29 hours (1740 minutes) on clock = (1740 × 1440) ÷ 1450 = 1728 minutes true time = 28 hours 48 minutes.
Therefore, true time = 8 a.m. + 28 hours 48 minutes = 12:48 p.m. (48 minutes past 12 noon), making Option 2 the correct answer.
Question 5 of 5 Calendar & Clock
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At what time between 5 and 6 will the two hands of a watch coincide?
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