Question

The speed of two pulleys varies inversely as their diameters. A pulley with a diameter of 32 centimeters turns at 600 revolutions per minute. What is the speed of a pulley with a diameter of 24 centimeters?
The speed of the pulley is ___???___ revolutions per minute.

Answer 1

inversely proportional so \[y = \frac kx\]
let y = speed of pulley and x is diameter

when y = 600, x = 32

\[\implies 600 = \frac{k}{32}\]
\[\implies 600 \times 32 = k\]
\[\implies 19, 200 = k\]
so the qquestion is..what is y when x = 24
\[\implies y = \frac kx\]
\[\implies y= \frac{19,200}{24}\]
\[\implies y = 800\]
does that help?

Answer 2

yes yes yes !!!!!

Answer 3

wonderful