SOLUTION: At a national computer show, two software companies continuously run videos showing their products. Company A's video repeats every 33 minutes, while Company B's video repeats eve

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Question 643626: At a national computer show, two software companies continuously run videos showing their products. Company A's video repeats every 33 minutes, while Company B's video repeats every 6 minutes. If both companies begain the videos at 1:00pm when the show opens, how many mnutes will elapse before they are in sync again?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Company A's video repeats every 33 mins.
Company B's vidoe repeats every 6 mins.
They will be in sync when the number of minutes passed is equal to the LCM between 6 and 33.
The LCM = (2x3)(3x11)/3 = 6x11 = 66
So the videos will sync at 2:06 pm
Video B will have played 11 times (11x6 mins) and video A will have played twice (2x33 mins) when they sync up again