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 2 days, B can complete the job in 8 days and C can complete the job in 10 days. How many days the company will it take to complete the job if all the machines are used simultaneously?
Choose one.
A) 4/27 days  B) 40/29 days  C) 3/4 days  D) 1/2 days  E) 1/4 days
Let the total number of cans to be prepared be 40.   The number of cans prepared by A in 1 day = 20.   The number of cans prepared by B in 1 day = 5.   The number of cans prepared by C in 1 day = 4.   Thus, the total number of cans that can be prepared by all the machines working simultaneously in a single day = 29.   Therefore, the number of days taken to complete the whole work = 40/29 days.   ANSWER:40/29 days
<result>B</result>
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 2 days, B can complete the job in 8 days and C can complete the job in 10 days. How many days the company will it take to complete the job if all the machines are used simultaneously?