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The table above shows the distance, in kilometers, by the [#permalink]
18 Sep 2012, 02:32

Expert's post

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

86% (02:13) correct
14% (01:18) wrong based on 360 sessions

Attachment:

Table.png [ 10.59 KiB | Viewed 4828 times ]

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 [#permalink]
18 Sep 2012, 02:32

Expert's post

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 [#permalink]
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 [#permalink]
19 Sep 2012, 23:44

1

This post received KUDOS

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]
21 Sep 2012, 03:19

Expert's post

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 [#permalink]
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

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