| A clock is set right at 9 am. The clock gains 10 min in 24 h. What will be true time, when the clock indicates 2 pm on the following day? |
A) 48 min past 12
B) 48 min past 1
C) 48 min past 1
D) 48 min past 2
E) None of these
Correct Answer: C
Solution :
| Time from 9 am 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 |
| \[\Rightarrow \]\[\frac{145}{6}h\] of this clock \[=24\,\,h\]of the correct clock |
| 29 h of this clock \[=\left( 24\times \frac{6}{145}\times 29 \right)h\]of the correct clock |
| \[=28\,\,h\,\,48\min \]of correct clock |
| \[\therefore \]The correct time is 28 h 48 min after 9 am. This will be 48 min past 1. |
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