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# The rate of data transfer, r, over a particular network is d

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The rate of data transfer, r, over a particular network is d [#permalink]  17 Sep 2017, 10:29
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The rate of data transfer, r, over a particular network is directly proportional to the bandwidth, b, and inversely proportional to the square of the number of networked computers, n.

 Quantity A Quantity B The resulting rate of data transfer if thebandwidth is quadrupled and the number ofnetworked computers is more than tripled $$\frac{4}{9}*r$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The rate of data transfer, r, over a particular network is d [#permalink]  28 Sep 2017, 08:07
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Column A can be written as $$\frac{4b}{9^+ n^2}$$, where $$\frac{b}{n^2} = r$$. Then, we have the same quantity in the two columns but for the denominator, which in column A, is $$n^2$$ multiplied by a number there is greater than 9 (since we are more than tripling), even if it was 9.0001, column B would be greater.

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Re: The rate of data transfer, r, over a particular network is d [#permalink]  15 Nov 2017, 23:08
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Column A can be written as \frac{4b}{9n^2}, where \frac{b}{n^2} = r. Then, we have the same quantity in the two columns but for the denominator, which in column A, is n^2 multiplied by a number there is greater than 9 (since we are more than tripling), even if it was 9.0001, column B would be greater.

Re: The rate of data transfer, r, over a particular network is d   [#permalink] 15 Nov 2017, 23:08
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