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

Answer:

24 gear.

Step-by-step explanation:

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

$\dfrac{Gear A}{Gear B}=\dfrac{Gear B}{Gear C}$

Gear A = 36 teeth

Gear C = 16 teeth

Let gear B have x teeth.

$\dfrac{36}{x}=\dfrac{x}{16}$

On cross multiplication we get

$36\times 16=x\times x$

$576=x^2$

Taking square root on both sides.

$24=x$

Therefore, gear B have 24 teeth.