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### Discussion :: Clock

1. A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

2.  A. 59$$\frac {7 } { 12 }$$min. past 3 B. 4 p.m. C. 58$$\frac {7 } { 11 }$$min. past 3 D. 2$$\frac {3 } { 11 }$$min. past 3

Explanation :

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =$$\frac { 37 } {4 }$$hrs.

3 min. 5 sec. of this clock = 3 min. of the correct clock.

$$\frac { 37 } {720 }$$hrs of this clock =$$\frac { 1 } { 20 }$$hrs of the correct clock

$$\frac { 37 } {4 }$$hrs of this clock=[$$\frac { 1 } { 20 }$$x$$\frac { 720 } {37}$$x$$\frac { 37 } {4 }$$]hrs of the correct clock

= 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

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