Math

 1. A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

(A) 20
(B) 24
(C) 36
(D) 48
(E) 96

The lowest possible number of students in the class will be the lowest common multiple of 8 and 12, which is 24.

Answer: B.

2. A boy walking along a road at 3 kilometers per hour is overtaken by a truck traveling at 40 kilometers per hour. If the truck breaks down 1 kilometer beyond where it passes the boy, how many minutes after the breakdown does the boy reach the truck?


(A) 

(B) 

(C) 

(D) 

(E) 

3. Truck A is on a straight highway heading due south at the same time Truck B is on a different straight highway heading due east. At 1:00 PM, Truck A is exactly 14 miles north of Truck B. If both trucks are traveling at a constant speed of 30 miles per hour, at which of the following times will they be exactly 10 miles apart?

A. 1:10 PM
B. 1:12 PM
C. 1:14 PM
D. 1:15 PM
E. 1:20 PM

4.  Two cars leave towns 900 kilometers apart at the same time and travel toward each other. One car's rate is 14 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?