A and B can complete some work in 12 days B and C in 15 days and C and A in 20 days will they complete the work i)together ii)separately
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Step-by-step explanation:
10 days
According to question,
A and B can do a work in 12 days
∴ (A + B)’s one day’s work = 1/12
Similarly, (B + C)’s one day’s work = 1/15
and (C + A)’s one day’s work = 1/20
On adding all three,
∴ 2 (A + B + C)’s one day’s work = 1/12+ 1/15+ 1/20
= \frac{10+8+6}{120} = \frac{1}{5}
and (A + B + C)’s one day’s work = \frac{1}{10}
∴ A, B and C together can complete the work in 10 days.
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