If a gear pair has a 6-tooth driver and 18-tooth driven gear and the driven gear is rotating at 300 RPM, the driver speed is ______ RPM.

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Multiple Choice

If a gear pair has a 6-tooth driver and 18-tooth driven gear and the driven gear is rotating at 300 RPM, the driver speed is ______ RPM.

Explanation:
In gear pairs, the speed is inversely related to the number of teeth on the gears. The driver has 6 teeth and the driven gear has 18 teeth, so the driven gear has three times as many teeth. This means for every full turn of the driver, the driven gear turns only one third of a turn. If the driven gear runs at 300 RPM, the driver must run three times faster: 3 × 300 = 900 RPM. The other numbers don’t fit the 3:1 teeth ratio, so they’re not possible.

In gear pairs, the speed is inversely related to the number of teeth on the gears. The driver has 6 teeth and the driven gear has 18 teeth, so the driven gear has three times as many teeth. This means for every full turn of the driver, the driven gear turns only one third of a turn. If the driven gear runs at 300 RPM, the driver must run three times faster: 3 × 300 = 900 RPM. The other numbers don’t fit the 3:1 teeth ratio, so they’re not possible.

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