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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? |
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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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