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Working together, Machine A and Machine B can produce a

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Working together, Machine A and Machine B can produce a

by AAPL » Tue Jul 30, 2019 6:09 am

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Magoosh

Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets?

1) Working alone, Machine B takes 5 hours to produce 50 widgets.
2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.

OA D
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Aug 01, 2019 9:31 pm

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AAPL wrote:Magoosh

Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets?

1) Working alone, Machine B takes 5 hours to produce 50 widgets.
2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.

OA D
Say Machine A working alone can produce 200 widgets in a hours, and Machine B working alone can produce 200 widgets in b hours; thus, we have
1/a + 1/b = 1/4

If we get the value of b, we get the answer.

Let's take each statement one by one.

1) Working alone, Machine B takes 5 hours to produce 50 widgets.

=> Machine B takes 5*4 = 20 hours to produce 50*4 = 200 widgets. Thus, b = 20. Sufficient.

2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.

=> b = 4a

Thus, from 1/a + 1/b = 4 => 1/a + 1/(4a) = 1/4 => a = 5. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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