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by lionsshare » Sat Sep 16, 2017 10:18 pm
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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 R and T.

OA: B

Hi, Experts! What is the best approach to solving this problem? Thank you.
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Sun Sep 17, 2017 7:43 am
lionsshare wrote: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.
(2) By the most direct route, the distance between T and U is 1.5 times the distance between R and T.

OA: B

Hi, Experts! What is the best approach to solving this problem? Thank you.
Statement 1:

Distance between S and T = 56;
Distance between S and R = y

=> 56 = 2y => y = 28. We can't get x. Insufficient.

Statement 2:

Distance between T and U = 69;
Distance between R and T = x

=> 69 = 1.5x => x = 46. Sufficient.

The correct answer: B

Hope this helps!

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