Three machines, \(K, M,\) and \(P,\) working simultaneously and independently at their respective constant rates, can complete a certain task in \(24\) minutes. How long does it take machine \(K,\) working alone at its constant rate, to complete the task?

1. Machines \(M\) and \(P,\) working simultaneously and independently at their constant rates, can complete the task in \(36\) minutes

2. Machines \(K\) and \(P,\) working simultaneously and independently at their constant rates, can complete the task in \(48\) minutes

The OA is A