Question

A and B complete a piece of work in $24$ days. B and C do the same work in $36$ days and A, B and C together finish it in $18$ days. In how many days will A alone complete the work ?

• A. $44$ days
• B. $36$ days
• C. $22$ days
• D. $20$ days

Answer 1

The correct option is B $36$ days

(A+B+C)' s 1 Day work $=\frac{1}{18}$
(B+C)'s 1 Day work $=\frac{1}{36}$
A's 1 day work $=\frac{1}{18}-\frac{1}{36}$
$=\frac{2-1}{36}=\frac{1}{36}$
Hence A alone complete work in $36$ days