In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
On day one of the qualifying rounds, Rusty and Dale start from the same point, but their cars are reversed and each drives opposite ways. Rusty drives at a constant speed that is 8 feet per second faster than Dale's constant speed. Rusty passes Dale for the first time in 150 seconds. Rusty drives at a constant rate of how many feet per second?
(A) 16
(B) 20
(C) 24
(D) 32
(E) 40
A ramp used to access the side entrance to the DPC Candy Store, which is located 7 meters above the ground, covers 24 meters along the level ground from the edge of the building. How many meters long is the ramp?
(F) 13(G) 14(H) 17(J) 23(K) 25
Correct Answer: K
A model for the number of questions on an assignment, when the assignment is worth p points, is q = 
. According to this model, what is the number of questions, q, for an assignment worth 80 points?
(F) 128 (G) 26 (H) 80 (J) 13 (K) 3
Correct Answer: F
A sphere is inscribed in a cube with a diagonal of 3
ft. In feet, what is the diameter of the sphere?
(F) 3
(G) 2
(H) 2
(J) 3
(K) 3
Correct Answer: J
More ACT Math Exam Questions
- 1
A department store escalator is 25 feet long and forms an angle of 43° with the floor, which is horizontal. Which of the follow is an expression for the horizontal distance of the escalator from beginning to end?
- 2
If
, then n! =? - 3
The 8-sided figure below is divided into 12 congruent isosceles right triangles. The total area of the 12 triangles is 96 square centimeters. What is the perimeter, in centimeters, of the figure?
- 4
In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If
PQR is a right angle, then which of the following could be the coordinates of R?
- 5
A pipe of radius 4 feet sends water to two smaller pipes of equal size. If each of the smaller pipes allows exactly half as much water to flow as the larger pipe, what is the radius of one of the smaller pipes?
