Last Updated on May 6, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are presented with the following table:
We need to determine the value of x. From our table we see that the value of x represents the distance between R and T.
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. We can eliminate answer choices A and D.
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