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

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Asifpirlo
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The table above shows the one-way driving distance, in miles [#permalink] New post   Updated on: 22 Aug 2013, 03:36
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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
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Originally posted by Asifpirlo on 21 Aug 2013, 17:59.
Last edited by Bunuel on 22 Aug 2013, 03:36, edited 1 time in total.
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Re: The table above shows the one-way driving distance, in miles [#permalink] New post   22 Aug 2013, 03:42
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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

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.

Answer: B.

Hope it's clear.
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Re: The table above shows the one-way driving distance, in miles [#permalink] New post   22 Aug 2013, 03:56
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Asifpirlo wrote:
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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


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
Answer B
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Re: The table above shows the one-way driving distance, in miles [#permalink] New post   19 Aug 2015, 06:14
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'
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Re: The table above shows the one-way driving distance, in miles [#permalink] New post   04 Sep 2015, 04:23
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
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Re: The table above shows the one-way driving distance, in miles [#permalink] New post   26 Aug 2023, 12:58
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Re: The table above shows the one-way driving distance, in miles [#permalink]
26 Aug 2023, 12:58
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