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# A clock is right at 9 a. m. The clock gains 15 minutes in 24 hours. What will be the right time when the clock indicates 12 a.m. on the following day.

 A) 43 minutes past 11 B) 45 minutes past 11 C) 44 minutes past 11 D) $$\Large 44\frac{1}{2}$$ minutes past 11

 A) 43 minutes past 11

Time from 9 a. m. of a particular day to 12 a. m. on the following day = 27 hours.

Now the clock gains 15 minutes in 24 hours

(i. e.) 24 hours 15 minutes of this clock is equal to 24 hours of the correct clock.

$$\Large \frac{97}{4}$$ hours of this clock = 24 hrs. of the correct clock.

Therefore, 27 hours of this clock = $$\Large \frac{24}{97} \times 4 \times 27$$

= 26 hrs. 43 minutes.

27 hours of this clock = 26 hrs 43 minutes of the correct clock.

It means that the clock in question is 17 minutes faster than the correct clock.

Therefore, when clock indicate 12 a.m the correct time will be 43 minutes past 11.

Part of solved Clocks questions and answers : >> Elementary Mathematics >> Clocks

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