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A circular running track is being built in a fenced-in athletic field 100 feet wide and 150 feet long. If a border of 10 feet is needed between the outside edge of the track and the fence, what is the radius of the largest track that can be built?

(F) 40

(G) 45

(H) 65

(J) 90

(K) 110

The Correct Answer
Explanation

Al bikes a trail to the top of a hill and back down. He bikes up the hill in m minutes, then returns twice as quickly downhill on the same trail. What is the total time, in hours, that Al spends biking up the hill and back down?

(A) (B) (C) (D) (E) 2m

Correct Answer: B

If the solutions to the equation (x + a)(x + b) = 0 are x = 8 and x = -image, then a + b = ?

(A)-13 (B) -12 (C) -6.5 (D) 6.5 (E) 12

Correct Answer: C

Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?

(A)x < 4 (B) image (C) image (D) image (E) x > 4

Correct Answer: B

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