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A small factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job in 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 three machines?

A small factory with 3 machines has a job of stamping out a number of pan covers. The newest machine can do the job in 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 three machines? Correct Answer 1.333

three machines together can do in 1 day = 1/3 + 1/4 + 1/6                                       = (4 + 3 + 2)/12                                       = 9/12 part so 9/12 part can be done in 1 day     ∴1 or whole work can be done in 12/9 = 1.33 days ans: 1.33 days

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