A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days and C can complete the job in 6 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choose one.
A) 4 days  B) 4/3 days  C) 3 days  D) 12days  E) 14 days
Let the total number of cans to be prepared be 12.   The number of cans prepared by A in 1 day = 4.   The number of cans prepared by B in 1 day = 3.   The number of cans prepared by C in 1 day = 2.   Thus, the total number of cans that can be prepared by all the machines working simultaneously in a single day = 9.   Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.   ANSWER:4/3 days
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A company has a job to prepare certain number of cans and there are three machines A, B and C for this job. A can complete the job in 3 days, B can complete the job in 4 days and C can complete the job in 6 days. How many days the company will it take to complete the job if all the machines are used simultaneously?