a clock is set at 12AM on sunday and it lags 4 minutes for every hour in the first week and leads 5 minutes for every two hours in the next two weeks. What is the time shown by clock after three weeks(hh-mm-ss)
Answers
Given:
The clock shows 12 am on Sunday
It lags 4 mins every hour for the first week
It leads 5 mins for every 2 hours in the next 2 weeks.
To Find:
What is the time shown after 3 weeks
Solution:
Find the total time lagged in the 1 week:
1 hour = 4 mins lagged
1 day = 4 x 24
1 day = 96 mins lagged
7 days = 96 x 7
7 days = 672 mins lagged
Find the total time lead in the next 2 weeks:
2 hour = 5 mins lead
1 day = 5 x 12
1 day = 60 mins lead
14 days = 60 x 14
14 days = 840 mins lead
Find the time difference in time:
Net difference = 840 - 672
Net difference = 168 mins lead
Net difference = 2 hours 30 mins lead
Find the time shown on the clock:
Time on the clock = 12 am + 2 hours 30 mins
Time on the clock = 2.30 am
Answer: The time on the clock will be 2.30 am
Answer:
the time in the clock will be 2:30 am