A, B and C working together can finish a piece of work in 8 hours.A alone can do it in 20 hours and B alone can do it in 24 hours.In how many hours will C alone do the same work?
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A,B,C working together complete a work in 8 hours.
∴ In one hour they can complete 81th of work.
A can alone do the work in 20hr
∴ In one hour A can complete 201th of work.
B can alone do the work in 24hr.
∴ In one hour B can do 241th of work.
Let in one hour C can do x1th of work.
∴201+24!+x1=81
⇒x1=81−(201+241)
=81−20×2444
=81−12011
=12015−11=1204
=3
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