A small factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job is 3 days, another machine can do it in 4 days, and the third machine can do it in 6 days. How many days will the factory take to do the job using all the machine?

A 1.333
B 4.333
C 6
D 13

Correct Answer: 1.333

First machine can finish stamping out 1/3 of the pan covers in 1 day Second machine can finish stamping out 1/4 of the pan covers in 1 day Third machine can finish stamping out 1/6 of the pan covers in 1 day Together they can finish (1/3 + 1/4 + 1/6 = ) 9/12 = 3/4 of the pan covers in 1 day. So, they can finish stamping all of the pan covers in 3/4 = 1.33 days
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