Gears

The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?

Correct answer:

n₂ =  80
s =  200 m

Step-by-step explanation:

$$\begin{gathered} s_1=s_2 \\ {n}_2\cdot 12=32\cdot 30 \\ {n}_2=\frac{32}{12}\cdot 30=\frac{32\cdot 30}{12}=\frac{960}{12}=80 \end{gathered}$$

$$\begin{gathered} o=250\text{cm}\to \text{m}=250:100\text{m}=2.5\text{m} \\ s=o\cdot n_2=2.5\cdot 80=200\text{m} \end{gathered}$$

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