MathematicsThree lightships flash simultaneously at 6.00am. The first lightship flashes after every 12 seconds, and the second lightship every 30 seconds, and the third lightship every 66 seconds. A t what time will the three light ships next flash together?

Three lightships flash simultaneously at 6.00am. The first lightship flashes after every 12 seconds, and the second lightship every 30 seconds, and the third lightship every 66 seconds. A t what time will the three light ships next flash together?

  1. A
    6:09am
  2. B
    6:10am
  3. C
    6:11am
  4. D
    6:12am 

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    Solution:

    Three beacons simultaneously at 6am. The first beacon flashes every 12 seconds, the second beacon every 30 seconds, and the third beacon every 66 seconds.
    Then we take a common multiple of 12, 30 or 66.
    That is So, three lightships next flash together = 660 seconds = 11 minutes
    The time next flashes is after 11 minutes = 6.11 A.M
    Hence, option 3 is correct.
     
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