Bunuel wrote:

Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. How many minutes would it take 27 workers to pack 180 boxes, if all workers work at the same constant rate?

(A) 12

(B) 13

(C) 14

(D) 15

(E) 16

Since 12 workers take 9 minutes to pack 60 boxes,

27 workers(which is \(\frac{9}{4}\) times the workers) take 9 minutes to pack \(\frac{9}{4}*60 = 135\) boxes.

Now, we know that 27 workers pack 135 boxes in 9 minutes.

In order to pack 180 boxes, they would need \(\frac{180}{135}*9 = \frac{4}{3}*9 = 12\) minutes.

Therefore, the workers(working at the same constant rate) take

12 minutes(Option A) to pack 180 boxes.

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