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  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

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    Answer : Option B

    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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