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# Akilah traveled at a rate of x miles per hour for 2x hours.

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Akilah traveled at a rate of x miles per hour for 2x hours. [#permalink]  15 Jul 2018, 02:57
Expert's post
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Question Stats:

78% (00:49) correct 21% (00:42) wrong based on 32 sessions
Akilah traveled at a rate of x miles per hour for 2x hours.

 Quantity A Quantity B The number of miles Akilah traveled $$3x$$

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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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1741 [0], given: 397

Re: Akilah traveled at a rate of x miles per hour for 2x hours. [#permalink]  15 Jul 2018, 03:35
Expert's post
Explanation

Use D = RT:

Distance = $$x(2x)$$
Distance = $$2x^2$$

Which is greater, 2x2 or 3x? If x = 1, then 3x is greater.

But if x = 2, then 2x2 is greater.

Without information about the value of x, the relationship cannot be determined.
_________________

Sandy
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Re: Akilah traveled at a rate of x miles per hour for 2x hours.   [#permalink] 15 Jul 2018, 03:35
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# Akilah traveled at a rate of x miles per hour for 2x hours.

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