A and B can do a piece of work in 12 days, B and C can do in 15 days ,C and A can do in 20 days. in how many days Can do it working altogether
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Given:
A and B can do a piece of work in 12 Days = 1 /12
B and C can do a piece of work in 15 Days = 1 /15
A and C can do a piece of work in 20 Days = 1 /20
Now by adding the above values, we get,
2(A + B + C) (One Day Work)
= 1/12+1/15+1/20
= 5+4+3/60
= 12/60
= 1/5
Therefore,
A + B + C (One Day Work) = 1 /10 work.
C (One Day Work) = [A + B + C (One Day Work)] – (A + B)(One Day Work)
= 1/10-1/12
= 6-5/60
= 1/60
Therefore, C can complete the whole work in 60 days.
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