Question

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

Answer:

A and B can do (1/18)th of the work in a day.

B and C can do (1/24)th of the work in a day.

A and C can do (1/36)th of the work in a day.

2A+2B+2C = (1/18)+(1/24)+(1/36)

= (4/72)+(3/72)+(2/72)

= (9/72) or

A+B+C = (9/144) = (1/16)th of the work in a day.

C alone does (1/16)-(1/18) = (18–16)/(16*18) = 2/(16*18) = (1/144)th part of the work in a day. So C, working alone, will complete the work in 144 days.

Answer 2

Refer attachment for your answer...

16 is correct answer.