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Question 67
Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?
Solution
Given that three people together can do the work in 24 days
(1/a)+(1/b)+(1/c)=1/24
Also given (1/b) +(1/c)=1/36
1/a =1/24 - 1/36
1/a =(3-2)/72
a=72 days
(1/72)+(1/b)=1/40
(1/b)=(1/40)-(1/72)
(1/b)=9-5/360
1/b =1/90
b=90 days
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