A can finish the work in 12 days, B in 18 days and C in 9 days.if they work together, the job will be over in ---
(A) 6 days
(B) 4 days
(C) 10 days
(D) 9 days
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Answer:
If A and B together can complete a work in 18 days, A and C together in 12 days and B and C together in 9 days, then in how many days B alone can do the work? Hence B alone can do the work in 24 days. So option [B] is correct answer.
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Step-by-step explanation:
A can finish the work in 12days
A can finish 1/12 work in 1day
B can finish the work in 18 days
B can do 1/18 work in 1 day
C can finish the work in 9 days
C can do 1/9 work in 1 day
In one day A+B+C can do
1/12 +1/18 +1/9
= 3/36 + 2/36 + 4/36 (lcm of 12,18,9 = 36)
= 9/36 part of work
so A,B,C together can finish the whole work in
1 ÷ 9/36 = 36/9 days = 4 days
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