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Machine A, B and C

Expert replies
by kakz » Wed Dec 28, 2011 5:56 am
A factory has three types of machines: Machine A,B and C. If Machine B is more productive than Machine A, will Machine C take more than three hours to produce 225 items?
(1) Machine C takes less than half the time to produce as many items as Machine A and Machine B produce together
(2) Machine A produces 20 items in one hour.

No OA
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Source: — Data Sufficiency |

by GmatMathPro » Wed Dec 28, 2011 7:35 am
kakz wrote:A factory has three types of machines: Machine A,B and C. If Machine B is more productive than Machine A, will Machine C take more than three hours to produce 225 items?
(1) Machine C takes less than half the time to produce as many items as Machine A and Machine B produce together
(2) Machine A produces 20 items in one hour.

No OA
Question: Will it take machine C more than three hours to produce 225 items?

Rephrase: Will it take machine C more than one hour to produce 75 items?

Statement 1: Doesn't mention a specific number of items produced; INSUFFICIENT.

Statement 2: Doesn't mention anything about machine C; INSUFFICIENT.

Statements 1&2: From statement 2: Machine A produces 20 items in one hour. Machine B is more productive than Machine A, so it must produce more than 20 items in one hour. Thus, together, they produce more than 40 items in one hour. From Statement 1: Machine C takes less than half an hour to match the output of A&B, so machine C produces more than 40 items every half hour, which means it produces more than 80 items every hour, which means the answer to the original question is definitely no. SUFFICIENT.

Ans: C
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