A clock loses 1% time during the first week and then gains 2% time during the next one week. If the clock was set right at 12 noon on a Sunday, what will be the time that the clock will show exactly 14 days from the time it was set right?
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 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.
i.e. 1 : 40 : 48 P.M.
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If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
24 billion hours later, it would be 9 P.M. and 8 hours before that it would be 1 P.M.
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A clock showed 5 min past 3'0 clock on Sunday evening when the correct time was 3'0 clock it looses uniformly and was observed to be 10 min slow on the subsequent Tuesday at 9pm . when did the clock show the correct time
Clock showed 5 min past 3'0 clock on Sunday evening when the correct time was 3'0 clock.
It looses uniformly and was observed to be 10 min slow on the subsequent Tuesday at 9pm .
In 54 hrs , it lost 15 mins.
so 5 mins are lost in 5*54/15 = 18 hrs
so watch showed correct time at 1500+1800-2400= 0900 hrs on Monday i.e 9AM Monday
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A watch gains 5 min. every hour. If it has set right at 12 noon. what is the true time when the watch is showing 5 pm,on the same day?
65 min of 1st clock = 60 min of correct clock
5 hr of this clock = 60x5/65 of correct clock=60/13
correct time is 60/13 hr after 12 = 4:8/13=4:480/13
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The famous church in the city of Kumbakonnam has a big clock tower and is said to be over 300 years old. Every Monday 10.00 A M the clock is set by Antony, doing service in the church. The Clock loses 6 mins every hour. What will be the actual time when the faulty clock shows 3 P.M on Friday?
In this type of problems the formula is
(5*x+ or - t)*12/11 -----------(Important Point)
Here x is the first interval of given time, and t is spaces apart.
(5 * 5 +6) * 12/11 = 31 *12/11 = 372/11
4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
So, Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min
50 min. spaces are gained in (60/55 +50) min. or 54 6/11
Required time = 54 6/11 min. past 4.
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At what time between 9' O clock and 10' O clock will the hands of a clock point in the opposite directions?
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