A and B can complete a piece of work in 30 days, B and C in 20 days while C and A in 15 days. If all of them work together, the time taken in completing the work will be :
A.
B.
C.
D.
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Step-by-step explanation:
Work done by (A + B) in 1 day 1/30
Work done by (B + C) in 1 day 1/20
Work done by (C + A) in 1 day 1/15
On adding,
Work done by 2(A + B + C) in 1 day 1/30+1/15+1/20=3/20
∴ Work done by (A + B + C) in 1 day 3/40
∴ (A + B + C) will do the work in 40/3 days =13¹/³
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