# The table above shows the distance…

## 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.