Question

33. A and B can do a piece of work in 18days
B and C can do it in 24 days while c and
A can finish it in 36 days. In how many
day can A, B, C finish it, if they all work
together.​

Answer 1

Answer:

(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.

Hence option [D] is correct answer.

hope its helpful