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