Question

A clock is set right at $5:00$ a.m. The clock loses $16$ minutes in $24$ hours. What will be the right time when the clock indicates $10:00$ p.m. on the fourth day?

Answer 1

Time from 5 a.m. of it particular day to 10 p.m. on the fourth day is 89 hours. (24 + 24 + 24 + 17) The clock loses 16 minutes in 24 hours. In other words, 23 hours 44 minutes of this clock is equivalent to 24 hours of the correct clock or 23+4460→3561523+4460→35615 hours of this clock = 24 hours of the correct clock.
Thus, 89 hours of this clock =(24×15356×89)=90=(24×15356×89)=90 hours of correct clock.
So, 89 hours of this clock = 90 hours of the correct clock.
Therefore, it is dear that in 89 hours this clock loses I hour and hence the correct time is 11:00 p.m., when this clock shows 10:00 p.m.