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

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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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:

77% (00:37) correct 22% (00:39) wrong based on 129 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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2970 [0], given: 394

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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Intern
Joined: 08 Sep 2019
Posts: 11
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Kudos [?]: 10 [1] , given: 0

Re: Akilah traveled at a rate of x miles per hour for 2x hours. [#permalink]  11 Sep 2019, 23:19
1
KUDOS
r = 2x*x which is = 2x^2
x could be anything so the answer d
Intern
Joined: 22 Aug 2019
Posts: 9
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Kudos [?]: 13 [1] , given: 3

Re: Akilah traveled at a rate of x miles per hour for 2x hours. [#permalink]  20 Sep 2019, 07:30
1
KUDOS
For those who tend to have more trouble with variables and need concrete numbers

X=1
1 mile per hour and traveling 2 hours -> 2 miles traveled; A < B

x=3
3 miles per hour and traveling 6 hours -> 18 miles vs 9 miles; A > B

Re: Akilah traveled at a rate of x miles per hour for 2x hours.   [#permalink] 20 Sep 2019, 07:30
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