A clock is set right at 5 am. The clock loss 16 min in 24 h. What will...
Time from 5 am of a particular day to 10 pm on the 4th day is 89 h. Now, the clock loses 16 min in 24 h or on other words, we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock. or (23 + 44/60)
⇒ 356 h of this clock = 24 h of the correct clock
∴ 89 h of this clock
= (24 x 15/356 x 89) h of correct clock
= 90 h of the correct clock
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A clock is set right at 5 am. The clock loss 16 min in 24 h. What will...
Explanation:
Time lost in 24 hours:
- The clock loses 16 minutes in 24 hours.
- Therefore, in 1 hour, it will lose 16/24 = 2/3 minutes.
Time passed from 5 am to 10 pm on the third day:
- From 5 am to 10 pm on the third day, there are 3 days and 17 hours.
- The clock loses 2/3 minutes per hour, so in 17 hours, it will lose 17*(2/3) = 34/3 minutes.
Calculating the time indicated by the clock:
- The actual time passed is 17 hours but the clock shows 17 hours and 34/3 minutes less.
- Therefore, the clock shows 17 hours and 34/3 minutes - 17 hours = 34/3 minutes less than the actual time.
- Converting 34/3 minutes to hours, we get 34/3 ÷ 60 = 17/90 hours.
- So, the clock shows 17 hours and 17/90 hours less than the actual time.
Calculating the right time when the clock indicates 10 pm on the third day:
- Subtracting 17 hours and 17/90 hours from 10 pm gives us the actual time.
- 10 pm - 17 hours - 17/90 hours = 9 hours and 43 minutes.
- Adding 9 hours and 43 minutes to 5 am (the starting time) gives us the right time.
- 5 am + 9 hours + 43 minutes = 2 pm.
Therefore, the right time when the clock indicates 10 pm on the third day is 2 pm. So, the correct answer is option B) 11:00 pm.