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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] New post 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 the
bandwidth is quadrupled and the number of
networked 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] New post 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.

Answer B!
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Re: The rate of data transfer, r, over a particular network is d [#permalink] New post 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.

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

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