If A can complete some work in 6 days, B can complete the same work in 18 days and C in 9 days. How long will all three of them take to complete the work by working together?
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Answer:
They took 3 days to complete the work by working together.
Step-by-step explanation:
Let the whole work be 1
In 6 days A can complete the work
In1 day A can complete 1/6 part of work
In 18 days B can complete the work
In 1 day B can complete 1/18 part of work
In 9 days C can complete the work
In 1 day C can complete 1/ 9 part of work
Part of work done by A,B,C In 1 day=(1/6) +(1/18)+(1/9)
=(3+1+2)/18=6/18 =1/3
1/3 part of work done in 1 day
∴ 1 work can be done in 1 ÷ (1/3) = 3 days
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