Question

A clock loses $\frac{1}{2}$ % on true time during one week and gains $\frac{1}{4}$% on true time during the next week. If it is set right at $12$ o'clock on Saturday morning, then what time will it indicate at the end of the second week?

• A. 11:34
• B. 11:48
• C. 12:15
• D. 13:02

Answer 1

The correct option is A 11:34

Loss$=0.005\times 7\times 24$ hrs $=0.84$ hrs,
Gain $=0.42$ hrs.
Overall loss $=0.42$ hrs.$=25$ min. $12$ sec.
$\therefore$ Time shown at end of $2^{nd}$ week $=11.34$ a.m.
i.e., $11$ hr $34$ min $48$ sec.