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Question 69
Working together, A, B and C can complete a work in 36 days. If the efficiency of A, B and are C in the ratio 5: 6: 9, then B alone will complete the same work in:
Solution
Given the ratios of efficiencies 5:6:9 and soÂ
A can do the work in (x/5) days
B can do the work in (x/6) days
C can do the work in (x/9) days
Therefore 1/(x/5) +Â 1/(x/6)+Â 1/(x/9) =1/36
(5/x)+(6/x)+(9/x)=(1/36)
20/x =1/36
x=36*20
x=720
B can alone do in 720/6 =120 days
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