In a two-gear system, if Gear A has 10 teeth and Gear B has 30 teeth, what is the speed ratio?

In a two-gear system, the speed ratio can be determined by comparing the number of teeth on each gear. The speed ratio is inversely proportional to the number of teeth: the gear with fewer teeth will turn faster than the gear with more teeth.

In this scenario, Gear A has 10 teeth, while Gear B has 30 teeth. To find the speed ratio, you take the number of teeth on Gear B and divide it by the number of teeth on Gear A:

Speed Ratio = Number of Teeth on Gear B / Number of Teeth on Gear A

Speed Ratio = 30 teeth / 10 teeth = 3

This tells us that for every 1 rotation of Gear A, Gear B will complete 1/3 of a rotation, illustrating that Gear A spins faster than Gear B. Hence, the speed ratio can be expressed as 1:3, indicating that Gear A turns three times for every single rotation of Gear B. This is the reason why this particular answer is the correct choice.