# Three workers

Three people - A, B, C . A and B can do a piece of work in 18 days, B and C can do it in 24 days, A and C can do it in 36 days.In how many days B alone can finish the work?

## Correct answer:

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**Dr Math**

Ahother steps:

A + B can do in 18 days ,

B + C can do it in 24 days ,

A + C can do it in 36 days.

A+B+C do/day = (1/18+1/24+1/36)/2 = (4+3+2)/72 = 1/16

B does/day = 1/16-1/36 = (9-4)/144 = 5/144

B can do in 144/5 = 28.8 days

A + B can do in 18 days ,

B + C can do it in 24 days ,

A + C can do it in 36 days.

A+B+C do/day = (1/18+1/24+1/36)/2 = (4+3+2)/72 = 1/16

B does/day = 1/16-1/36 = (9-4)/144 = 5/144

B can do in 144/5 = 28.8 days

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