A clock loses 1% time during first week and then gains 2% time during the next one week. if the clock was set right at 12noon on Sunday what will be the the time exactly that the clock will show 14days from the time it was set right ?
A. 1:30:48 pm
B. 1:40:48 pm
C. 1:40:38 pm
D. 1:30:48 am
Answer : B. 1:40:48…
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 minutes = 1 hour + 40 minutes + 48 seconds. i.e. 1 : 40 : 48 P.M.