Question

1
A and B can do a piece of work in 18 days, B and
C can do it in 24 days while C and A can finish it
in 36 days. In how many days can A, B, C finish it,
if they all work together?
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Answer 1

Answer:

16 days.

Step-by-step explanation:

(A + B)’s 1 day’s work = \frac{1}{18}

(B + C)’s 1 day’s work = \frac{1}{24}

(C + A)’s 1 day’s work = \frac{1}{36}

On adding,

2(A + B + C)’s 1 day’s work = \frac{1}{18}+\frac{1}{24}+\frac{1}{36} = \frac{4+3+2}{72} = \frac{1}{8}

∴ (A + B + C)’s 1 day’s work = \frac{1}{16}

∴ A, B and C together will complete the work in 16 days.