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Cars X and Y leave City A at the same time and travel the same route

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Cars X and Y leave City A at the same time and travel the same route [#permalink]

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New post 17 Apr 2017, 06:26
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:01) correct 18% (00:50) wrong based on 44 sessions

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Cars X and Y leave City A at the same time and travel the same route to City B. Car X takes 30 minutes to complete the trip and car Y takes 20 minutes. Which of the following must be
true?

I. The average miles per hour at which car X traveled was greater than the average miles
per hour at which car Y traveled.

II. The distance between the cities is 30 miles.

III. The average miles per hour at which car Y traveled was greater than the average miles
per hour at which car X traveled.

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
Spoiler: OA

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Re: Cars X and Y leave City A at the same time and travel the same route [#permalink]

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New post 17 Apr 2017, 07:25
Top Contributor
rohan2345 wrote:
Cars X and Y leave City A at the same time and travel the same route to City B. Car X takes 30 minutes to complete the trip and car Y takes 20 minutes. Which of the following must be true?

I. The average miles per hour at which car X traveled was greater than the average miles per hour at which car Y traveled.

II. The distance between the cities is 30 miles.

III. The average miles per hour at which car Y traveled was greater than the average miles per hour at which car X traveled.

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I. The average miles per hour at which car X traveled was greater than the average miles per hour at which car Y traveled.
We're told that Car X takes 30 minutes to complete the trip, and Car Y takes 20 minutes.
If Car Y takes LESS TIME to complete the trip, it must be the case that Car Y's SPEED IS GREATER than Car X's speed.
So, statement I is FALSE
ELIMINATE A, D and E

II. The distance between the cities is 30 miles.
Since we don't know the speed of either car, we can't conclude that the distance is 30 miles.
For example, the distance COULD be 60 miles. If Car X's speed were 120 miles per hour, then its travel time would be 30 minutes, and if Car Y's speed were 180 miles per hour, then its travel time would be 20 minutes.
Since this scenario (in which the distance between the cities is 60 miles) meets the given conditions, we can conclude that statement II is FALSE
ELIMINATE B

By the process of elimination, the correct answer is ....
Spoiler: ::
C


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Re: Cars X and Y leave City A at the same time and travel the same route [#permalink]

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New post 17 Apr 2017, 08:07
rohan2345 wrote:
Cars X and Y leave City A at the same time and travel the same route to City B. Car X takes 30 minutes to complete the trip and car Y takes 20 minutes. Which of the following must be
true?

I. The average miles per hour at which car X traveled was greater than the average miles
per hour at which car Y traveled.

II. The distance between the cities is 30 miles.

III. The average miles per hour at which car Y traveled was greater than the average miles
per hour at which car X traveled.

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


700 level - no way. It gives you two statements I and III opposite to each other, allowing you to eliminate choices without any efforts.

Distance is SAME and time spent is different..
Clearly one travelling in LESS time has more speed
So car Y is traveling faster. Hence III is correct and I is wrong.
Only possibility is C
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Cars X and Y leave City A at the same time and travel the same route [#permalink]

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New post 17 Apr 2017, 08:09
GMATPrepNow wrote:
rohan2345 wrote:
Cars X and Y leave City A at the same time and travel the same route to City B. Car X takes 30 minutes to complete the trip and car Y takes 20 minutes. Which of the following must be true?

I. The average miles per hour at which car X traveled was greater than the average miles per hour at which car Y traveled.

II. The distance between the cities is 30 miles.

III. The average miles per hour at which car Y traveled was greater than the average miles per hour at which car X traveled.

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only


I. The average miles per hour at which car X traveled was greater than the average miles per hour at which car Y traveled.
We're told that Car X takes 30 minutes to complete the trip, and Car Y takes 20 minutes.
If Car Y takes LESS TIME to complete the trip, it must be the case that Car Y's SPEED IS GREATER than Car X's speed.
So, statement I is FALSE
ELIMINATE A, D and E

II. The distance between the cities is 30 miles.
Since we don't know the speed of either car, we can't conclude that the distance is 30 miles.
For example, the distance COULD be 60 miles. If Car X's speed were 120 miles per hour, then its travel time would be 30 minutes, and if Car Y's speed were 180 miles per hour, then its travel time would be 20 minutes.
Since this scenario (in which the distance between the cities is 60 miles) meets the given conditions, we can conclude that statement II is FALSE
ELIMINATE B

By the process of elimination, the correct answer is ....
Spoiler: ::
C


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Hi Brent

never mind ..,but it is considered that both cars traveled continuously :wink:

otherwise NONE is best option
Cars X and Y leave City A at the same time and travel the same route   [#permalink] 17 Apr 2017, 08:09
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