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Three machines, K, M, and P, working simultaneously and [#permalink]
 03 Dec 2012, 03:40
Question Stats:
74% (01:44) correct
25% (01:04) wrong based on 9 sessions
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.
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Re: Three machines, K, M, and P, working simultaneously and [#permalink]
03 Dec 2012, 03:42
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?Say k, m, and p are the numbers of minutes machines K, M, and P take, respectively, to complete the task. Then we have that \frac{1}{k}+\frac{1}{m}+\frac{1}{p}=\frac{1}{24}. (1) Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes --> \frac{1}{m}+\frac{1}{p}=\frac{1}{36}, thus \frac{1}{k}+\frac{1}{36}=\frac{1}{24} --> we can find the value of k. Sufficient. (2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes --> \frac{1}{k}+\frac{1}{p}=\frac{1}{48}. The value of k cannot be determined from the data we have. Not sufficient. Answer: A.
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Re: Three machines, K, M, and P, working simultaneously and [#permalink]
04 Mar 2013, 02:57
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. RATE  K + M + P) - RATE : (M+P) = RATE : K. SUFFICIENT(2) Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes. RATE K + M + P) - RATE : (K+P) = RATE : M. NOT SUFFICIENT
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Re: Three machines, K, M, and P, working simultaneously and
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04 Mar 2013, 02:57
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