Question

: A & B can do a piece of work in 18 - days , B & C in 24 - days and C & A in 36 - days . In what time can they do it , all together ? *

Answer 1

Answer:

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

Answer 2

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.