Source: Official Guide for the GMAT 12th Ed. Section 6.3 Data Sufficiency; #68

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# Three machines, K, M, and P, working simultaneously

Three machines, K, M, and P, working simultaneously and independently at their respective constant rate, can complete a certain task is 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) Machine K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient., Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient., BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient., EACH statement ALONE is sufficient., Statements (1) and (2) TOGETHER are not sufficient.

### 1 Explanation

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Mike McGarry, Magoosh Tutor

Nov 12, 2012 • Comment