Engineering Board Exam Reviewer · Clock Problems · hard

At approximately what time after 12 o'clock will the hour and the minute hands of a clock form an angle of 120° for the second time?

  1. 50 min and 30 sec
  2. 43 min and 38 sec
  3. 38 min and 35 sec
  4. 30 min and 45 sec

Answer

B. 43 min and 38 sec

Solution

Using x=60H+2 /11 with H=0 and =240° (using 240° instead of 120° because this is for the second time), x=2(240)/11 43.64 minutes = 43 min and 38 sec.

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  2. It is now 3:06 PM. In how many minutes after the given time will the hands of the clock form a 20° angle for the 2nd time?
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