SOLUTION: A machine has three interlocking gears . Gear A has 18 teeth and turns clockwise at 30 revolutions per minute. Gear B turns counter-clockwise and has 36 teeth. Gear C turns clockwi

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Question 261721: A machine has three interlocking gears . Gear A has 18 teeth and turns clockwise at 30 revolutions per minute. Gear B turns counter-clockwise and has 36 teeth. Gear C turns clockwise and has 9 teeth. How many revolutions does gear C turn in one minute ?
Found 3 solutions by Alan3354, stanbon, drk:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
Gear C has 1/2 as many teeth, so it makes 60 rpm.
The size of the middle gear is not relevant.

Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
A machine has three interlocking gears .
Gear A has 18 teeth and turns clockwise at 30 revolutions per minute.
Gear B turns counter-clockwise and has 36 teeth.
Gear C turns clockwise and has 9 teeth.
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How many revolutions does gear C turn in one minute ?
In one min a turns 30 revs = 30*18 teeth = 540 teeth
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In the same min B turns 540/36 = 15 revs = 540 teeth
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In the same min C turns 540/9 = 60 revs
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Cheers,
Stan H.

Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website!
Gear A: 18 teeth -> 30 rev / min -> 60 rev / 2 min.
Gear B: 36 teeth
Gear C: 9 teeth.
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The LCM (18, 36, 9) = 36
9*4 = 36
4*30 = 120
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So, gear C turns 120 revolutions / min.