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The table above shows the distance, in kilometers, by the

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New post 18 Sep 2012, 03:32
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The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1) By the most direct route, the distance between S and T is twice the distance between S and R.
(2) By the most direct route, the distance between T and U is 1.5 times the distance between Rand T.

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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 18 Sep 2012, 03:32
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SOLUTION

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The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1) By the most direct route, the distance between S and T is twice the distance between S and R. We can find the value of \(y\), which will be \(ST=56=2y\) --> \(y=28\). But we have no information about \(x\). Not sufficient.

(2) By the most direct route, the distance between T and U is 1.5 times the distance between R and T. \(TU=69=1.5x\) --> \(x=46\). Sufficient.

Answer: B.
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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 18 Sep 2012, 07:04
Bunuel wrote:
Attachment:
Table.png
The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1) By the most direct route, the distance between Sand T is twice the distance between Sand R.
(2) By the most direct route, the distance between T and U is 1.5 times the distance between Rand T.



1) from graph the distance between S and T gives the value of y, hence not sufficient
2) this gives value of x, hence sufficient.

Hence B
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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 20 Sep 2012, 00:44
2
X=?

(1) interpreting the chart plus the statement: 56 = 2 (y)
INSUFFICIENT bec we don't know anything about x and it's relationship to y.
(2) 69 = 1.5x, SUFFICIENT

Answer: B
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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 21 Sep 2012, 04:19
SOLUTION

Image
The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1) By the most direct route, the distance between S and T is twice the distance between S and R. We can find the value of \(y\), which will be \(ST=56=2y\) --> \(y=28\). But we have no information about \(x\). Not sufficient.

(2) By the most direct route, the distance between T and U is 1.5 times the distance between R and T. \(TU=69=1.5x\) --> \(x=46\). Sufficient.

Answer: B.

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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 01 Aug 2013, 14:09
The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?


R S T U
R 0 28 x 62

S 28 0 56 75

T x 56 0 69

U 62 75 69 0

(1) By the most direct route, the distance between S and T is twice the distance between S and R.
y = 28
This tells us nothing about x.
INSUFFICIENT

(2) By the most direct route, the distance between T and U is 1.5 times the distance between R and T.
tu distance = 69
tu = 1.5(rt)
69 = 1.5(rt)
46=rt
The distance between r and t on the graph = x, therefore, x=46.
SUFFICIENT

(B)
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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 02 Aug 2014, 15:16
for statement 1 - if you know that RS is 28 and ST is 56, why is it incorrect to assume that RT is 28+56?
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New post 02 Aug 2014, 15:21
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Re: The table above shows the distance, in kilometers, by the  [#permalink]

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New post 02 Aug 2014, 16:28
Bunuel wrote:
jaw4527 wrote:
for statement 1 - if you know that RS is 28 and ST is 56, why is it incorrect to assume that RT is 28+56?


It would be the distance through S, but there might be a shorter direct route.


gotcha that makes sense, thanks for the reply bunuel
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The table above shows the distance, in kilometers, by the  [#permalink]

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New post 04 Sep 2018, 04:58
Bunuel wrote:
Attachment:
Table.png
The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?

(1) By the most direct route, the distance between S and T is twice the distance between S and R.
(2) By the most direct route, the distance between T and U is 1.5 times the distance between Rand T.


We need to determine the value of x.

Statement One Alone:

By the most direct route, the distance between S and T is twice the distance between S and R.

The distance between S and R is y, and the distance between S and T is 56 kilometers.

Since the distance between S and T is twice the distance between S and R, we can say:

2y = 56

y = 56/2 = 28 kilometers

However, we still do not have a value for x. Statement one is not sufficient to answer the question.

Statement Two Alone:

By the most direct route, the value of the distance between T and U is 1.5 times the distance between R and T.

The distance between T and U is 69 kilometers, and the distance between R and T is x. Since the distance between T and U is 1.5 times the distance between R and T, we can say:

1.5x = 69

x = 69/1.5 = 46 kilometers

Thus, the value of x is 46. Statement two is sufficient to answer the question.

Answer: B
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