Question
A clock is set right at 5 am. The clock loses 16 min in 24 h. What will be the right time when the clock indicates 10 pm on the 3rd day?
Answer: Option B
Answer: (b)
Time from 5 am of a particular day to 10 pm on the 3rd day is 89 h.
Now, the clock loses 16 min in 24 h or in other words,
we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock.
$(23 + 44/60) = 356/15$ h of this clock = 24h of the correct clock
Therefore, 89 h of this clock = $(24 × 15 / 356 × 89) h$
the correct clock = 90 h of the correct clock or 89 h of this clock = 90 h of the correct clock.
Therefore, it is clear that in 90 h this clock loses 1 h and hence, the correct time is 11 pm when this clock shows 10 pm.
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Answer: (b)
Time from 5 am of a particular day to 10 pm on the 3rd day is 89 h.
Now, the clock loses 16 min in 24 h or in other words,
we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock.
$(23 + 44/60) = 356/15$ h of this clock = 24h of the correct clock
Therefore, 89 h of this clock = $(24 × 15 / 356 × 89) h$
the correct clock = 90 h of the correct clock or 89 h of this clock = 90 h of the correct clock.
Therefore, it is clear that in 90 h this clock loses 1 h and hence, the correct time is 11 pm when this clock shows 10 pm.
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