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:

 

  • Option 1)

     

    59\frac{7}{12}  min. past 3

     

  • Option 2)

     

    4 p.m.

     

  • Option 3)

     

    58\frac{7}{11} min. past 3

     

  • Option 4)

     

    5 p.m.

     

  • Option 5)

     

    2\frac{3}{121} min. past 3

     

Answers (1)

Time difference between 7 AM to 4:15 PM = 9 Hours 15 Minutes or 37/4 hours

3 Minutes & 5 Seconds wrong time = 3 Minutes of actual time

37/12 Minutes wrong time = 3 Minutes of actual time

If we convert it into hours,

37/720 hours = 1/20 hours of actual time
37/4 hours of wrong time = 1/20 x 720/37 x 37/4 => 9 Hours

The Actual-time = 7 AM + 9 hours => 4 PM

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