[4 p.m.] A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day,

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 oclock, the true time is:

59$ \dfrac{7}{12} $min. past 3

4 p.m.

58$ \dfrac{7}{11} $min. past 3

2$ \dfrac{3}{11} $min. past 4

Explanation:

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

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

$\Rightarrow \dfrac{37}{720} $hrs of this clock =$ \dfrac{1}{20} $hrs of the correct clock.

$\Rightarrow \dfrac{37}{4} $hrs of this clock =$\dfrac{1}{20} \times\dfrac{720}{37} \times \dfrac{37}{4}$hrs of the correct clock.

= 9 hrs of the correct clock.

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

How much does a watch lose per day, if its hands coincide every 64 minutes?	Answer
An accurate clock shows 8 oclock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 oclock in the afternoon?	Answer
The reflex angle between the hands of a clock at 10.25 is:	Answer
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:	Answer
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 oclock, the true time is:	Answer
How much does a watch lose per day, if its hands coincide every 64 minutes?	Answer