Explanation

First, figure out the individual rate for 1 worker: 2 violins ÷ 3 minutes = violin per minute. (Always divide work by time to get a rate.) Now apply W = RT separately to Quantity A and Quantity B.

Quantity A:
R = 12 × the individual rate =\(12 \times \frac{2}{3}\) = 8 violins per minute
\(W = 720\) violins

Solve for T in W = RT:

\(720 = 8T\)
\(90 = T\)


Quantity B:

R = 5 × the individual rate = \(5 \times \frac{2}{3}\) = \(\frac{10}{3}\) violins per minute
T = 24 minutes

Solve for W in W = RT:

\(W = (24) \times \frac{10}{3}\)
\(W = 80\)

Since 90 > 80, Quantity A is greater.