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The table above shows the distance, in kilometers, by the
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18 Sep 2012, 02:32
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86% (01:37) correct 14% (01:50) wrong based on 851 sessions
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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.
Practice Questions Question: 45 Page: 279 Difficulty: 600
Re: The table above shows the distance, in kilometers, by the
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18 Sep 2012, 02:32
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SOLUTION
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.
Re: The table above shows the distance, in kilometers, by the
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18 Sep 2012, 06:04
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.
Re: The table above shows the distance, in kilometers, by the
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19 Sep 2012, 23:44
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
Re: The table above shows the distance, in kilometers, by the
[#permalink]
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21 Sep 2012, 03:19
SOLUTION
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.
Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Re: The table above shows the distance, in kilometers, by the
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01 Aug 2013, 13:09
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
The table above shows the distance, in kilometers, by the
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04 Sep 2018, 03:58
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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