A clock is set right at 6 a.m. It gains 10 minutes in 24 hours. What will be the right time when the clock indicates 11 a.m. on the next day?

Explanation

24 hours = (24 × 60) minutes Actual time of (24 × 60 + 10) minutes = (24 × 60) minutes Actual time of 1450 minutes = 1440 minutes Total time from 6 AM to 11 AM next day = (24 × 60) minutes + (5 × 60) minutes = (1440 + 300) minutes = 1740 minutes ∵ Actual time of 1450 minutes = 1440 minutes ∴ Actual time of 1740 minutes = ($\frac{1440}{1450} \times 1740$) minutes = 1728 minutes = (28 × 60) minutes + 48 minutes = 28 Hrs 48 minutes = 24 Hrs + 4 Hrs + 48 Minutes On the next day at 11:00 am at the time when the hand of the clock shows the actual time will be = 6 AM + 4 Hrs + 48 minutes= 10:48 Second Method = (6 + 4) O’clock + 48 minutes = 10:48 AM