SOLUTION: a large geared wheel has 12 teeth while a small geared wheel has 10 teeth. if the gear are locked together and they rotate until they get their original position how many turn mus

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Question 1099504: a large geared wheel has 12 teeth while a small geared wheel has 10 teeth. if the gear are locked together and they rotate until they get their original position how many turn must each one make
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

In any period of time, the number of teeth that mesh on the two gears must be the same.

So the number of teeth that have to mesh for the two gears to get back to their original orientation is the least common multiple of the numbers of teeth on the two gears.

The LCM of 10 and 12 is 60.

The gear with 10 teeth will make 60/10 = 6 revolutions; and the gear with 12 teeth will make 60/12 = 5 revolutions.