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a and b together can do a piece of work in 20 days b and c together can do it in 15 days , c and a can do it in 12 days |
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Answer» Step-by-step explanation: a+B 1 day work = 1/12 -------> EQUATION 1 b+c 1 day work= 1/15 ----------> equation 2 c+a 1 day work= 1/20 -------------> equation 3 by subtracting equation 1 and 2 we get a-c = 1/60 --------------------> equation 4 now adding equation 3 and 4 we get A's one day work a=1/30 ------------------------> equation 5 now PUTTING value of equation 5 in equation 1 and 3 we can get value of C and B RESPECTIVELY 1/20 and 1/60 A's one day work + B's one day work + c's one day work = 1/10 if they work together it will TAKE 10 days to complete them the whole work ! |
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