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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:

  1. $59 \frac{7}{12}$ min. past 3
  2. 4 p.m.
  3. $58 \frac{7}{11}$ min. past 3
  4. $2 \frac{3}{11}$ min. past 4

1 Answer

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Gains 5 seconds in 3 minutes. So, speed of clock = 185/180 = 37/36 to a coreect clock.

Distance moved = 7 am to 4:15 pm = 9 hrs 15 mins = 555 mins.

Distance moved by a correct clock = 555 * 36/37 = 15 * 36 = 540 minutes = 9 hrs.

So, correct time is 4 pm.
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