A clock is set right at 9 pm. The clock gains 10 min in 24 h. What will be true time, when the clock indicates 2 pm on the following day?

Time from 9 pm in a day to 2 pm on the following day = 29 h.
24 h 10 min of this clock = 24 h of the correct clock
or 145/6 h of this clock = 24 h of the correct clock
29 h of this clock = 24 x (6/145) x 29 h of the correct clock
= 28 h 48 min of correct clock
∴ The correct time is 28 h 48 min after 9 am. This will be 48 min past 1.