Discussion
A clock is set right at 5 a.m. The clock loss 16 mins in 24 hours. What will be the right time when the clock indicates 10 pm on the 4th day ?
Answer: B
The right time is 11:00 p.m.
The clock loses 16 minutes a day, so it shows 23 h 44 min (1424 minutes) for every 24 true hours (1440 minutes). From 5 a.m. on day 1 to 10 p.m. on day 4 the clock shows 3 days 17 hours, which is 89 hours.
\[ \begin{aligned} \text{true time} &= 89 \times \frac{1440}{1424} \\ &= 90\ \text{hours} \end{aligned} \]
90 hours after 5 a.m. on day 1 is 11 p.m. on day 4. The clock is behind by an hour, so the true time is later than 10 p.m.; 11:15 and the midnight options overshoot.
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