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\(A\) and \(B\) can do a piece of work in \(12\) days, while \(B\) and \(C\) can do it in \(15\) days whereas \(A\) and \(C\) can do it in \(20\) days. How long would each take to do the same work?
 
Time taken by \(A\) \(=\)  days
 
Time taken by \(B\) \(=\)  days
 
Time taken by \(C\) \(=\)  days