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1. A mechanical grandfather clock is at present showing 7 hours 40 minutes 6 seconds. Assuming that it loses 4 seconds in every hour, what time will it show after exactly $6 \frac{1}{2}$ hours ?

A. 14 hours 9 minutes 34 seconds

B. 14 hours 9 minutes 40 seconds

C. 14 hours 10 minutes 6 seconds

D. 14 hours 10 minutes 32 seconds

Solution:

\begin{aligned} Time lost in 6 \frac{1}{2} hours \\ = (6 \frac{1}{2} \times 4) \sec \\ = 26 \sec \end{aligned}

Correct time after

6 \frac{1}{2}

hours
= 7 hours 40 minutes 6 seconds + 6 hours 30 minutes
= 14 hours 10 minutes 6 seconds
Time show by the clock
= 14 hours 10 minutes 6 seconds - 26 sec
= 14 hours 9 minutes 40 seconds

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