A clock set in right at 4 am on Monday. The clock loses 16 min in 24 hours. What will be the actual time when the clock indicates 9 pm on Thursday?
Answers
Step-by-step explanation:
Time from 4 am of a particular day to 9 pm on the 4th day is 89 hours. now the clock loses 16 min in 24 hours or in other words, we can say that 23 hours 44 min of this clock is 24 hours of the correct clock or (23 + 44/60) = 356/15 hours of this clock = 24 hours of the correct clock.
therefore 89 hours of this clock = ((24×15)/356)×89 hours of correct clock = 90 hours of the correct clock.
therefore it is clear that in 90 hours this clock loses 1 hour and hence the correct time is 10 pm when the clock shows 9 pm
hope you understand
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Given : A clock set in right at 4 am on Monday. The clock loses 16 min in 24 hours
To Find : What will be the actual time when the clock indicates 9 pm on Thursday
Solution:
clock set in right at 4 am on Monday.
clock loses 16 min in 24 hours.
=> clock loses 16 min in 24*60 = 1440 minutes.
=> Clock shows 1440 - 16 = 1424 Minutes while actual is 1440
in 1424 Minutes in clock = 1440 actal minutes
=> 1 Minutes in clock = = 1440/1424 actual minutes
9 pm on Thursday from 4 am on Monday.
Tuseday Wednesday Thursday
24 * 3 = 72 + 12 + 5 = 89 hrs
in 89 hrs in clock actual = 89 * 1440/1424 =90 hr
so actual time = 10 PM Thursday
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