Question

02: A and B can do a piece of work in 18 days; B and C in 24 days and A and C in 36 days
In what time can they do it, all working together?
Marks : 5
1. 8 days
2. 16 days
3. 24 days​

Answer 1

Answer:

ANSWER is 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.

hence (2) option is the correct option.