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In a factory there are 3 machines to perform a job. 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 together?

In a factory there are 3 machines to perform a job. 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 together? Correct Answer 1.333

All three of the machines together can complete (1/3 + 1/4 + 1/6) = 3/4 part of the job in a day. Those machines can complete 3/4 part of the job in 1 day. So, the machines can complete the whole job in 1/(3/4) = 4/3 =  1.333 day. 

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