Question

The gear ratio of two gears is the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear. In a set of three gears, the ratio of Gear A to Gear B is equal to the ratio of Gear B to Gear C. Gear A has 36 teeth and Gear C had 16 teeth. How many teeth does Gear B have?

Answer 1

24 teeth

Explanation:

Answer 2

24 gear.

Explanation:

It is given that
`Gear A:Gear B=Gear B:Gear C`.

`(Gear A)/(Gear B)=(Gear B)/(Gear C)`

Gear A = 36 teeth

Gear C = 16 teeth

Let gear B have x teeth.

`(36)/(x)=(x)/(16)`

On cross multiplication we get

`36* 16=x* x`

`576=x^2`

Taking square root on both sides.

`24=x`

Therefore, gear B have 24 teeth.