Question

10. 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?​

Answer 1

Step-by-step explanation:

their together 1 day work = 1/18+1/24+36

work = 4+3+2/72 = 9/72 = 1/8

so they comple work together in 8 days

Answer 2

16 days

(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.