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Ex 9, To do a certain piece of work B would take three times as long as A and C together and C twice askingtogether. The three men by their united exertions can complete the work in 10 days. How longwuld ahimself?

Answer»

assume 100 units of work, so together they work 10 units/daylet A, B, C work a,b,c units /day(a+c) = 3b ....... (i)(a+b) = 2c ....... (ii)a+b+c = 10 ..... (iii)

solving the system , we geta = 25/6, b = 5/2, c = 10/3----------------------------------------A will take 100/(25/6) = 24 daysB will take 100/(5/2) = 40 daysC will take 100/(10/3) = 30 days



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