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

Question

https://gmatclub.com/forum/download/file.php?id=18267 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 R and T. Table.png https://gmatclub.com/forum/download/file.php?id=18267

Bunuel · Answer

SOLUTION

https://gmatclub.com/forum/download/file.php?id=18267 
 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.

dexerash · Answer

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

mbaiseasy · Answer

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

WholeLottaLove · Answer

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)

jessepinkman · Answer

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?

Bunuel · Answer

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

jessepinkman · Answer

gotcha that makes sense, thanks for the reply bunuel

JeffTargetTestPrep · Answer

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

TheUltimateWinner · Answer

Hi  Bunuel 
What if people mistakenly think that the highlighted part is something like the "black circle" in the screenshot (attached) NOT the "red circle"?
Thanks__
PS-it is better if the underlined part is edited with "R and T" in statement 2 (a space is needed between 'R' and 'and' for better understanding).

BLTN · Answer

Dear  TheUltimateWinner 
I presume it is almost impossible if you take into consideration the question stem:

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

In your case it is not the Distance between TWO cities.

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards