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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The table above shows the one-way driving distance, in miles

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Senior Manager  Joined: 10 Jul 2013
Posts: 273
The table above shows the one-way driving distance, in miles  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 70% (02:47) correct 30% (02:51) wrong based on 271 sessions

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The table above shows the one-way driving distance, in miles, between four cities: P, Q, R, and S. For example, the distance between P and Q is 144 miles. If the round trip between S and Q is 16 miles further than the round trip between S and R, and the round trip between S and R is 24 miles less than the round trip between S and P, what is the value of X?

A. 174
B. 182
C. 186
D. 348
E. 364

Originally posted by Asifpirlo on 21 Aug 2013, 16:59.
Last edited by Bunuel on 22 Aug 2013, 02:36, edited 1 time in total.
Edited the question.
Math Expert V
Joined: 02 Sep 2009
Posts: 65761
Re: The table above shows the one-way driving distance, in miles  [#permalink]

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2 The table above shows the one-way driving distance, in miles, between four cities: P, Q, R, and S. For example, the distance between P and Q is 144 miles. If the round trip between S and Q is 16 miles further than the round trip between S and R, and the round trip between S and R is 24 miles less than the round trip between S and P, what is the value of X?

A. 174
B. 182
C. 186
D. 348
E. 364

The round trip between S and Q = 2x.
The round trip between S and R = 2y.
The round trip between S and P = 2*186.

Given that:
2x=2y+16
2y+24=2*186 --> y=174.

2x=2*174+16 --> x=182.

Hope it's clear.
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Joined: 24 Aug 2009
Posts: 427
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: The table above shows the one-way driving distance, in miles  [#permalink]

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Asifpirlo wrote:
Attachment:
tab.png
The table above shows the one-way driving distance, in miles, between four cities: P, Q, R, and S. For example, the distance between P and Q is 144 miles. If the round trip between S and Q is 16 miles further than the round trip between S and R, and the round trip between S and R is 24 miles less than the round trip between S and P, what is the value of X?

A. 174
B. 182
C. 186
D. 348
E. 364

If the round trip between S and Q is 16 miles further than the round trip between S and R means that
2x = 16+ 2y
x= 8+ y ----(1)

the round trip between S and R is 24 miles less than the round trip between S and P means that
2y = 2(186) - 24
y = 186-12 = 174

Thus x = 8+ y = 8+ 174 = 182
Manager  Joined: 07 Dec 2009
Posts: 81
GMAT Date: 12-03-2014
Re: The table above shows the one-way driving distance, in miles  [#permalink]

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How much time do you think is ideal to solve such a question. Even though I got it right ,I took 2min50sec to solve it...Honestly I think its a simple question but for some reason the whole process took me some time. Any trick which needs to be applied here ?
My approach was to form equations and find the value of 'Y' and then substitute it back in another equation to get value of 'X'
Manager  Joined: 26 Nov 2014
Posts: 80
Re: The table above shows the one-way driving distance, in miles  [#permalink]

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The table above shows the one-way driving distance, in miles, between four cities: P, Q, R, and S. For example, the distance between P and Q is 144 miles. If the round trip between S and Q is 16 miles further than the round trip between S and R, and the round trip between S and R is 24 miles less than the round trip between S and P, what is the value of X?

Trip from S - Q = X,
Trip from Q - S = X,
Round trip of S & Q = X + X = 2X

Trip from S - R = Y,
Trip from R - S = Y,
Round trip of S & R = Y + Y = 2Y

2x = 16+2y
2x-2y = 16
x-y = 8...... eqn 1

Similarly,
Round-trip of S & P = 2 * 186 = 372
2y = 372-24
y=174,

sub the value of Y in eqn 1

we get, x = 182
Non-Human User Joined: 09 Sep 2013
Posts: 15594
Re: The table above shows the one-way driving distance, in miles  [#permalink]

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_________________ Re: The table above shows the one-way driving distance, in miles   [#permalink] 22 Jun 2020, 23:27

# The table above shows the one-way driving distance, in miles   