Saturday, March 10, 2012

Pulleys and Pinions

In the following figure, the diameter of pulley A is twice that of pulley B, and pinions C, D and E have 15, 5, and 10 teeth, respectively. If  pulley A rotates four times, how many times will pinion E rotate?

Pulleys and Pinions Puzzle
Pulleys and Pinions Puzzle



Answer:

12 times.
C rotates 8 times where it has 15 teeth (8 * 15). E has 10 teeth: (8 * 15) / 10 = 12.

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