A clock is set right at 8 am. The clock gains 10 min in 24 h. What will be the right time when the clock indicates 1 pm of the following day ?

Options

A. a. `11:40` pm
B. b. `12:48` pm
C. c. `12` pm
D. d. `10` pm

Answer

B

Explanation

Time from 8 am of a particular day to 1 pm on the following day = 29 h
Now the clock gains 10 min in 24 h, it means that 24 h 10 min of this clock is equal to 24 h of the correct clock.
`(145)/(6)`h of this clock =24 h of the correct clock. 29 h of this clock `= (24)/(145) xx 6 xx 29 = 28`h, 48 min of correct clock.
28 h of this clock = 28h 48 min of the correct clock. It means that the clock in question is 12 min faster than the correct clock. Therefore, when clock indicates 1pm the correct time will be 48 min past 12.