A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time that the clock will show exactly 14 days from the time it was set right?

Options

A. `1:36:48`
B. `1:40:48`
C. `1:41:24`
D. `10:19:12`

Answer

B

Explanation

The clock loses 1% time during the first week, In a day there are 24 hours and in a week there are 7 days. Therefore, there are 7 * 24 = 168 hours in a week. If the clock loses 1% time during the first week, then it will show a time which is 1% of 168 hours less than 12 Noon at the end of the first week = 1,68 hours less. Subsequently, the clock gains 2% during the next week. The second week has 168 hours and the clock gains 2% time = 2% of 168 hours = 3.36 hours more than the actual time.
As it lost 1.68 hours during the first week and then gained 3.36 hours during the next week, the net result will be a 1.68 +3.36 = 1,68 hour net gain in time.
So the clock will show a time which is 1,68 hours more than 12 Noon two weeks from the time it was set right.
1.68 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.
i.e. 1:40:48 P.M.