A clock gains uniformly. it is slow by 18 minutes at 07:25 pm on tuesday. if it shows the correct time at 00:00 hr on thursday, how much did it gain per day?
Answers
Given : A clock gains uniformly. it is slow by 18 minutes at 07:25 pm on tuesday. it shows the correct time at 00:00 hr on thursday
To find : how much did clock gain per day
Solution:
slow by 18 minutes at 07:25 pm on tuesday
shows the correct time at 00:00 hr on thursday,
=> Total Hrs = 28 hrs 35 minutes
Gained 18 minutes in 28 hrs 35 minutes = 28 + 35/60 hr = 28 + 7/12 hrs
= 343/12 Hrs
There are 24 hrs in a day
Time gained in 343/12 hrs = 18 Mins
Time gained in 1 hr = 18 /(343/12) = 216/343 MIns
Time gained in 24 hr = 24 * 216/343
= 15 mins 7 Secs
Time gained by Clock in a day = 15 mins 7 Secs
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