On a sonar map in the standard (x,y) coordinate plane, the Yellow Submarine and the Sandwich Submarine are located at the points (-7,4) and (-2,6), respectively. Each unit on the map represents an actual distance of 5 nautical miles. Which of the following is closest to the distance, in nautical miles, between the two submarines?

(A) 5

(B) 19

(C) 27

(D) 30

(E) 67

ACT test dates 2020 2021

<A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?

(A) 15(B) 16(C) 18(D) 20(E) 21

**Correct Answer: D**

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 *T*_{1} and *T*_{2} represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and *T*_{c}
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

**Correct Answer: C**

### More ACT Math Exam Questions

- 1
As shown in the (

*x*,*y*,*z*) coordinate space below, the cube with vertices*L**through**S*has edges that are 2 coordinate units long. The coordinates of*Q*are (0,0,0), and*S*is on the positive*x*-axis. What are the coordinates of*O*? - 2What is the area, in square inches, of the figure shown below?
- 3
Every week, Donald records the amount of mileage that has accumulated on his truck. On Monday, Donald recorded that he had driven 16,450 kilometers. After a week of deliveries, his new recording was 18,130 kilometers. He drove for thirty hours during that week. What was his average driving speed during that week to the nearest kilometer per hour?

- 4When , 16r
^{4}- s^{4}=? - 5If 0° < θ < 90° and tan θ = , what is sin θ + cos θ?

National Test Dates for 2020-2021 will not open for registration until July 2020. | ||
---|---|---|

Test Date | Registration Deadline | (Late Fee Required) |

September 12, 2020 | August 14 | August 15 -August 28 |

October 24, 2020 | September 18 | September 19 - October 2 |