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Joined:	17 Dec 2010
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24 Feb 2011 06:58:53 IST

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a & b can do a piece of work in 12 days, b and c can do it in 15 days while c & a can do it in 20 da

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a & b can do a piece of work in 12 days, b and c can do it in 15 days while c & a can do it in 20 days. The number of days. Taken by a alone to do the work is what? Give ans.

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Ajay Dev

New kid on the Block

Joined: 22 Nov 2008

Posts: 9

27 Feb 2011 10:54:36 IST

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Answer is 30.

(a+b)'s one day work = 1/12

(b+c)'s one day work = 1/15

(c+a)'s one day work = 1/20

(a+b) + (c+a) - (b+c) = 2a

so, (2a)'s one day work = 1/12 + 1/20 - 1/15 = 1/15

(a)'s one day work = 1/30

So a can do the same work alone in 30 days.

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