Question 51

A and B can do piece of work in 4 days and C and D in 3 days. In how many days will A, B, C and do it together?

Solution

Time taken for both 'A' and 'B' to do the work is 4 days
i.e (1/a)+(1/b)=1/4
Time taken for both 'C' and 'D' to do the same work is 3 days.
(1/c)+(1/d)=1/3
For all of them to complete the work by working together let it take 'x' days
(1/x)=(1/a)+(1/b)+(1/c)+(1/d)
(1/x)=(1/4)+(1/3)
(1/x)=(3+4)/(12)
(1/x)=7/12
x=12/7 days


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