Question

A clock, which loses 5 minutes per day, is set to show the correct time at 12 noon on a Sunday. What time does the clock show at 12 noon on the next Sunday?
A. 11 a.m.
B. 12 noon
C. 11.35 a.m.
D. 11.25 a.m.
E. None of these

Answer 1

Hint: This problem deals with finding the delayed time, as the given clock has a defect, which is that the clock loses 5 minutes for every day. One day has 24 hours. One hour has 60 minutes. One week has 7 days. So there are $7 \times 24$ hours for one week. From the given hint we have to find the time shown on the next Sunday.

Complete step-by-step answer:
So as given that the clock loses 5 minutes for every 24 hours.
The no. of days in one week = 7 days.
So the no. of hours in one week is = $7 \times 24$ hours.
As the no. of minutes the clock loses for every 24 hours is 5 minutes.
Thus the no. of minutes the clock loses for $7 \times 24$ hours is given by:
$ \Rightarrow 7 \times 5 = 35$minutes.
So the clock loses 35 minutes till the next Sunday.
The clock is lagging the correct time by 35 minutes, so the time on the clock is 12.00 – 35 minutes, which is 11.25 am.

Final Answer: The time the clock shows at 12 noon on the next Sunday is 11.25 a.m.

Note:
Please note that while finding what time would the clock show on the next Sunday, when we found that the clock loses 35 minutes till the next Sunday, that means that the clock is delayed by 35 minutes, which means that the clock is lagging the right time by 35 minutes, hence subtracting these 35 minutes from 60 minutes, gives 25 minutes, thus time shown on the clock would be 11.25 a.m.