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Question Number 25578 by adityapratap2585@gmail.com last updated on 11/Dec/17

3 men A,B and C can complete a  work in such a way that A works for  all the days, B works for 1st and 2nd  day and C works for 3rd, 4th and 5th  day. If B and C can do as much work  in two days as a alone does in 3 days.  If B and C can complete the work   without tbe help of A in 6 days then   how many dahs A alone do the work?

$$\mathrm{3}\:\mathrm{men}\:\mathrm{A},\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{can}\:\mathrm{complete}\:\mathrm{a} \\ $$$$\mathrm{work}\:\mathrm{in}\:\mathrm{such}\:\mathrm{a}\:\mathrm{way}\:\mathrm{that}\:\mathrm{A}\:\mathrm{works}\:\mathrm{for} \\ $$$$\mathrm{all}\:\mathrm{the}\:\mathrm{days},\:\mathrm{B}\:\mathrm{works}\:\mathrm{for}\:\mathrm{1st}\:\mathrm{and}\:\mathrm{2nd} \\ $$$$\mathrm{day}\:\mathrm{and}\:\mathrm{C}\:\mathrm{works}\:\mathrm{for}\:\mathrm{3rd},\:\mathrm{4th}\:\mathrm{and}\:\mathrm{5th} \\ $$$$\mathrm{day}.\:\mathrm{If}\:\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{can}\:\mathrm{do}\:\mathrm{as}\:\mathrm{much}\:\mathrm{work} \\ $$$$\mathrm{in}\:\mathrm{two}\:\mathrm{days}\:\mathrm{as}\:\mathrm{a}\:\mathrm{alone}\:\mathrm{does}\:\mathrm{in}\:\mathrm{3}\:\mathrm{days}. \\ $$$$\mathrm{If}\:\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{can}\:\mathrm{complete}\:\mathrm{the}\:\mathrm{work}\: \\ $$$$\mathrm{without}\:\mathrm{tbe}\:\mathrm{help}\:\mathrm{of}\:\mathrm{A}\:\mathrm{in}\:\mathrm{6}\:\mathrm{days}\:\mathrm{then}\: \\ $$$$\mathrm{how}\:\mathrm{many}\:\mathrm{dahs}\:\mathrm{A}\:\mathrm{alone}\:\mathrm{do}\:\mathrm{the}\:\mathrm{work}? \\ $$

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