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Question 101
A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in
Solution
A + B together will do $$\frac{1}{12}$$ amount of work in 1 day
B + C together will do $$ \frac{1}{20}$$ amount of work in 1 day
C + A together will do $$\frac{1}{15}$$ amount of work in 1 day
So $$2(A+B+C)=\frac{1}{12}+\frac{1}{20}+\frac{1}{15}$$
Or A,B and C together will do $$\frac{1}{10}$$ amount of work in 1 day.
Hence unit work will be done in 10 days.
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