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Question

A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work?

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Solution

Given,
(A+B+C) can do a piece of work in = 15 days
(A+B+C)’s 1 day work =115

B alone can do a piece of work in = 30 days
B’s 1 day work =130

C alone can do a piece of work in = 40 days
C’s 1 day work =140

So,
A’s 1 day work =115130+140
=1154+3120=1157120=87120=1120

A can do a piece of work in 120 days.

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