Calculate the values of x and y in the following table.

$\begin{array}{l}
\hline { \text { Pulley A } }\quad\quad\quad\quad\quad\quad \text { Pulley B } \
\begin{array}{|l|l|}
\hline \text { Diameter } & \mathrm{rpm} \
\hline 30 \mathrm{~cm} & 150 \
\hline y \text { in. } & 40 \
\hline
\end{array}
\begin{array}{l|l|}

\hline \text { Diameter } & \mathrm{rpm} \
\hline 45 \mathrm{~cm} & x \
\hline 24 \mathrm{in} . & 20 \
\hline
\end{array}
\end{array}$
A) x = 200, y = 24
B) x = 100, y = 12
C) x = 50, y = 6
D) x = 300, y = 18
E) x = 50, y = 18

Question

Calculate the values of x and y in the following table.

$\begin{array}{l}
\hline { \text { Pulley A } }\quad\quad\quad\quad\quad\quad \text { Pulley B } \
\begin{array}{|l|l|}
\hline \text { Diameter } & \mathrm{rpm} \
\hline 30 \mathrm{~cm} & 150 \
\hline y \text { in. } & 40 \
\hline
\end{array}
\begin{array}{l|l|}

\hline \text { Diameter } & \mathrm{rpm} \
\hline 45 \mathrm{~cm} & x \
\hline 24 \mathrm{in} . & 20 \
\hline
\end{array}
\end{array}$
A) x = 200, y = 24
B) x = 100, y = 12
C) x = 50, y = 6
D) x = 300, y = 18
E) x = 50, y = 18

Quizplus · Accepted Answer

First, let's use the formula for pulley speed, which is:

pulley speed = (diameter of other pulley * speed of other pulley) / diameter of pulley in question

For the first row, we have:

30 * 150 = y * 40
y = 112.5

For the second row, we have:

45 * x = 24 * 20
x = 100

Therefore, the answer is B: x = 100, y = 12.

Calculate the Values of X and Y in the Following