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Twenty Typical GRE Math Problems with Solutions
2) Car X and Car Y are five miles apart and are on a collision course. Car X is driving directly north and Car Y is driving directly east. If the point of impact is one mile closer to the current position of Car X than to the current position of Car Y, how many miles away from the point of impact is Car Y at this time?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer: Choice D is correct. This problem can be solved by using the Pythagorean theorem as Cars X and Y are 5 miles apart, which is the hypotenuse of a right triangle. Let d be the distance Car Y is from the point of collision. Then the distance Car X is from the collision is d1. Solving for D: dd + (d1)(d1) = 25, d=4, 3. Since d denotes distance, we reject 3 as a valid answer.

