Question

A watch which gains 5 seconds in 3 minutes was set right at 9 a.m. In the afternoon of the same day, when the watch indicated quarter past 6 o'clock, the true time is:

• A. 6 P.M.
• B. $59\frac{7}{12}$ Minutes past 3
• C. $58\frac{7}{11}$ Minutes past 3
• D. $5\frac{9}{11}$ Minutes past 4

Answer 1

The correct option is A 6 P.M.

Time from 7 a.m. to 4.15 p.m. = 9 H 15 M = $\frac{37}{4}$ H
3 minutes and 5 seconds of this clock = 3 minutes of the correct clock
$\frac{37}{720}$ Hours of this clock = $\frac{1}{20}$ Hours of correct clock
$\frac{37}{4}$ Hours of this clock = 9 Hours in correct clock
So, actual time is 9+9 = 18:00 Hrs. or 6:00 P.M.