A does a job in 16 days,b can do it in 24 days,a ,b and c do it in 8 days.how much time will it tyake for c alone
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C will take 32 days.
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A does a job in 16 days
∴ A 1 day work =1/16 part
B can do it in 24 days
∴ B 1 day work =1/24 part
∴A and B together do the work in 1 day =[1/16 part +1/24 part ]
∴A and B together do the work in 1 day =5/48 part
A+ ,B + C do it in 8 days.
A+ ,B + C 1 day work =1/8 part
∴C 1 day work =[1/8 part -5/48 part]
∴C 1 day work =1/48 part
∴C can do the work =1÷1/48 part
∴C can do the work in 48 days ANS
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