Bunuel wrote:
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 3 such machines to perform the same job?
A. 2.25 hours
B. 8.75 hours
C. 12 hours
D. 14.25 hours
E. 16 hours
The rate for 8 machines is 1/6. Let’s use the following proportion to determine the rate (which we can call n) of 3 machines:
8/(1/6) = 3/n
48 = 3/n
48n = 3
n = 3/48 = 1/16
We see that the rate of 3 machines is 1/16; thus, it will take 3 machines 16 hours
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