Calculate the values of x and y in the following table. $\begin{array} { | l | l | l | l | }
\hline \text { Gear A } && \text { Gear B } \
\hline \begin{array} { l }
\text { Number of } \
\text { teeth }
\end{array} & \mathrm { rpm } & \begin{array} { l }
\text { Number of } \
\text { teeth }
\end{array} & \mathrm { rpm } \
\hline 40 & 700 & 25 & x \
\hline 50 & 56 & y & 80 \
\hline
\end{array}$
A) x = 1,120, y = 35
B) x = 1,125, y = 72
C) x = 560, y = 35
D) x = 2,240, y = 72
E) x = 1,125, y = 36

Question

Calculate the values of x and y in the following table. $\begin{array} { | l | l | l | l | } 
\hline \text { Gear A } && \text { Gear B } \
\hline \begin{array} { l } 
\text { Number of } \
\text { teeth }
\end{array} & \mathrm { rpm } & \begin{array} { l } 
\text { Number of } \
\text { teeth }
\end{array} & \mathrm { rpm } \
\hline 40 & 700 & 25 & x \
\hline 50 & 56 & y & 80 \
\hline
\end{array}$
A) x = 1,120, y = 35
B) x = 1,125, y = 72
C) x = 560, y = 35
D) x = 2,240, y = 72
E) x = 1,125, y = 36

Quizplus · Accepted Answer

The gear ratio is determined by the number of teeth and rpm. For Gear A and Gear B, the ratio of teeth to rpm should be equal. For the first row: (40 teeth / 700 rpm) = (25 teeth / x rpm), solving gives x = 1,120. For the second row: (50 teeth / 56 rpm) = (y teeth / 80 rpm), solving gives y = 35.

Calculate the Values of X and Y in the Following