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Gears A and B turn together. Gear A turns 20 times when Gear B turns 30 times. When Gear A turns 60 times, how many times does Gear B turn? Show your work.

Gears A and B turn together. Gear A turns $20$ times when Gear B turns $30$ times. When Gear A turns $60$ times, how many times does Gear B turn? Show your work.

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Find derivatives of other trigonometric functions

Full solution

Q. Gears A and B turn together. Gear A turns

20

times when Gear B turns

30

times. When Gear A turns

60

times, how many times does Gear B turn? Show your work.

Understand Gear Relationship: Step $1$ : Understand the relationship between the turns of Gear A and Gear B. Gear A turns $20$ times while Gear B turns $30$ times. This sets a ratio of turns between Gear A and Gear B. Calculation: Ratio = Gear A turns / Gear B turns = $\frac{20}{30} = \frac{2}{3}$ .
Apply Ratio Calculation: Step $2$ : Apply the ratio to find out how many times Gear B turns when Gear A turns $60$ times. $\newline$ Using the ratio from Step $1$ , if Gear A turns $60$ times, Gear B turns = $(60 \times 3) / 2$ . $\newline$ Calculation: Gear B turns = $(60 \times 3) / 2 = 90$ .

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