Question

A and B can do a piece of work in 18days :B and C in 24days and A and C in 36days . in what time can they do it, all working together
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Answer 1

Answer:

answer is the very complicated . sorry

Answer 2

Answer:

16 days

Step-by-step explanation:

A+B can do the work in 18 days

B+C """""""""""""""""""""""" 24 days

C+A """""""""""""""""""""""" 36 days

so,

let total work =LCM of 18,24&36

i.e. total work => 72

now efficiency = w/t

hence

efficiency of

A+B = 72/18 = 4

B+C = 72/24 = 3

C+A = 72/36 = 2

SO

efficiency of

A+B+B+C+C+A = 4+3+2 = 9

Or 2(A+B+C) = 9

Or

A+B+C = 9/2

Hence

time taken to complete the work bye working together =>

72×2/9 = 8×2 = 16 days answer