If Gear A is traveling at 10 rpm, how many times will Gear C rotate in 3 minutes?

To determine how many times Gear C rotates in 3 minutes when Gear A is turning at 10 rpm (rotations per minute), we first need to calculate the total number of rotations Gear A makes in that time frame.

Since Gear A operates at 10 rpm, in 3 minutes, it will complete:

10 rotations/minute × 3 minutes = 30 rotations.

If Gear C is connected to Gear A and assuming they are directly engaged in a way where each rotation of Gear A corresponds to a rotation of Gear C (which is a common scenario in gear systems unless there are additional factors like gear ratios or differences in sizes), then Gear C would also rotate the same number of times as Gear A. Therefore, in this case, Gear C will rotate 30 times over the course of those 3 minutes.

This reasoning aligns with the choice of 30 times, which correctly reflects the relationship between the rotations of the two gears in this example.