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Question
A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15th July of the same year?
A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock shows 2 PM on 15th July of the same year?
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Solution
The correct option is B 12 : 58 PM
9 Am of 11 July of 2 PM on 15th July = 101 hours
(24+1560)hours of incorrect clock=24 hours of correct clock
(24+1560)hours of IC=24 hours of correct clock
1 hour of IC=9697 hours of correct clock
101 hour of IC=9697×101 hours of correct clock
=99.958 hours of correct clock
=99 hours+0.95876×60 minutes of correct clock
=99 hours+57.525 minutes
=99 hours and approx 58 minutes
So correct time will be
2 PM, 11th July + (99 hours and 58 minutes)
= 12 : 58 PM on 15th July
9 Am of 11 July of 2 PM on 15th July = 101 hours
(24+1560)hours of incorrect clock=24 hours of correct clock
(24+1560)hours of IC=24 hours of correct clock
1 hour of IC=9697 hours of correct clock
101 hour of IC=9697×101 hours of correct clock
=99.958 hours of correct clock
=99 hours+0.95876×60 minutes of correct clock
=99 hours+57.525 minutes
=99 hours and approx 58 minutes
So correct time will be
2 PM, 11th July + (99 hours and 58 minutes)
= 12 : 58 PM on 15th July
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