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 respective constant rates, can complete the task in 36 minutes.
(2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
My reasoning:
From the question, you can set up an equation 1/k + 1/m + 1/p = 1/24
(1) From this data, we can set up an equation 1/m + 1/p = 1/24. Plug it into the equation from the quesiton and solve for k. Sufficient.
(2) From this data, you can set up an equation 1/k + 1/p = 1/48 Plug it into the equation, we can only find the value of m.
(1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.
(2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
My reasoning:
From the question, you can set up an equation 1/k + 1/m + 1/p = 1/24
(1) From this data, we can set up an equation 1/m + 1/p = 1/24. Plug it into the equation from the quesiton and solve for k. Sufficient.
(2) From this data, you can set up an equation 1/k + 1/p = 1/48 Plug it into the equation, we can only find the value of m.
