Question

Two pullies are used in a system. Pully A tums 1.5 turns for each 1 turn of pully B AND it pulls in the opposite direction. If + is counterclockwise, and is
clockwise, How many times does pully A tum when pully B tums 80 times counterclockwise?
A) +80
B) -120
C) -60. D) +40​

Answer 1

Answer:  B) -120

Step-by-step explanation:

Set up a proportion, cross multiply, and solve.

$\dfrac{\text{Pulley A:}}{\text{Pulley B:}}\quad \dfrac{-1.5\ turns}{1\ turn}=\dfrac{x}{80\ turns}\\\\\\\text{Cross multiply:}\quad -1.5(80)=x\\\\.\qquad \qquad \qquad \qquad \quad \large\boxed{-120=x}$