Two hoses attached to separate water sources are available to fill a
cylindrical swimming pool. If both hoses are used, the time it will take
to fill the pool can be represented by the following equation: 
, where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc
represents the time needed for hoses 1 and 2 to fill the pool working
together. If hose 1 alone can fill the pool in exactly 20 minutes and
hose 2 alone can fill the pool in exactly 60 minutes, how many minutes
will it take to fill the pool if both hoses work simultaneously?
(A) 3
(B) 10
(C) 15
(D) 18
(E) 40
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） 
（C） 
（D） 
（E） x > 4
Correct Answer: B
In the standard (x, y) coordinate plane, what is the slope of the line with equation 7y - 3x = 21?
（A）-
（B）
（C） 
（D） 3
（E） 7
Correct Answer: B
Compared to the graph of y = sin x, the graph of y = 2 sin(4x) has:
（A）8 times the amplitude and the same period.
（B） 2 times the amplitude and 4 times the period.
（C） 2 times the amplitude and 
the period.
（D） 
the amplitude and 4 times the period.
（E） the amplitude and the period.
Correct Answer: C
More ACT Math Exam Questions
- 1When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?
- 2
The expression
equals: - 3If cot θ = P, which of the following expressions must also equal P?
- 4What is the solution set for the inequality 6 - 4(x - 2) > 4x + 5?
- 5
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?