A wall clock, which gains uniformly, is 1
minute slow at 11 am on Monday and is 5
min 48 seconds
fast at 1 pm on the following
Monday. When did the clock display correct
time?
Answers
Given : A wall clock, which gains uniformly, is 1 minute slow at 11 am on Monday, and is 5 min 48 seconds fast at 1 pm on the following Monday.
To Find : When did the clock display correct time?
Solution:
1 minute slow at 11 am on Monday,
5 min 48 seconds fast at 1 pm on the following Monday
=> 6 min 48 seconds gained in 24 * 7 + 2 = 170 hrs
=> 6 + 48/60 minutes gained in 170 hrs
=> 34/5 minutes gained in 170 hrs
To show correct time 1 minutes has to be gained
=> 1 minute gained in 170 / (34 /5) = 25 hrs
25 hrs from 11 AM on Monday
= 12 PM TUESDAY
the clock display correct time at 12 PM TUESDAY
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