1.  A car got 33 miles per gallon using gasoline that cost $2.95 per gallon. Approximately what was the cost, in dollars, of the gasoline used in driving the car 350 miles? (A)$10
(B) $20 (C)$30
(D) $40 (E)$50

2. Working alone at its constant rate, machine A produces k car parts in 10 minutes. Working alone at its constant rate, machine B produces k car parts in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce k car parts?

3. Machine R, working alone at a constant rate, produces x units of a product in 30 minutes, and machine S, working alone at a constant rate, produces x units of the product in 48 minutes, where x is a positive integer.

 Quantity A Quantity B The number of units of the product that machine R, working alone at its constant rate, produces in 3 hours The number of units of the product that machine S, working alone at its constant rate, produces in 4 hours

4. In a driving competition, Jeff and Dennis drove the same course at average speeds of 51 miles per hour and 54 miles per hour, respectively. If it took Jeff 40 minutes to drive the course, how long did it take Dennis?

5. Working alone at its constant rate, machine A takes 3 hours to produce a batch of identical computer parts. Working alone at its constant rate, machine B takes 2 hours to produce an identical batch of parts. How long will it take the two machines, working simultaneously at their respective constant rates, to produce an identical batch of parts?

6. Two people start jogging at the same point and time but in opposite directions.  If the rate of one jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7

7. A cyclist travels at 12 miles per hour. How many minutes will it take him to travel 24 miles?

(A) 1
(B) 2
(C) 30
(D) 60
(E) 120

8. Train X leaves New York at 10:00AM and travels East at a constant speed of x miles per hour. If another Train Y leaves New York at 11:30AM and travels East along the same tracks at speed 4x/3, then at what time will Train Y catch Train X?

(A) 2 PM of the same day
(B) 3 PM of the same day
(C) 3:30 PM of the same day
(D) 4 PM of the same day
(E) 8 PM of the same day

9.  An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 36 times the difference between the two numbers. How many coins did the old man have?

(A) 24
(B) 26
(C) 30
(D) 36
(E) 40

10.  A man walks at a rate of 10 mph. After every ten miles, he rests for 6 minutes. How much time does he take to walk 50 miles?

(A) 300
(B) 318
(C) 322
(D) 324
(E) 330

11. Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles. Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Mike take to complete the Marathon?

(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5

12.  A standard machine fills paint cans at a rate of 1 gallon every 4 minutes. A deluxe machine fills gallons of paint at twice the rate of a standard machine. How many hours will it take a standard machine and a deluxe machine, working together, to fill 135 gallons of paint?

(A) 1
(B) 1.5
(C) 2
(D) 2.5
(E) 3

13.  Rajesh traveled from home to school at 30 miles per hour, then returned home at 40 miles per hour to retrieve a forgotten item, and finally returned back to school at 60 miles per hour, all along the same route. What was his average speed for the entire trip, in miles per hour?

(A) 32
(B) 36
(C) 40
(D) 45
(E) 47

14.  Lamont traveled 80 miles in 2.5 hours, at a constant rate. He then decreased his speed by 25% and traveled 120 additional miles at the new constant rate. How many hours did the entire journey take?

(A) 6.25
(B) 7.5
(C) 8.75
(D) 10
(E) 11.25

15.  Machine A, which produces 15 golf clubs per hour, fills a production lot in 6 hours. Machine B fills the same production lot in 1.5 hours. How many golf clubs does Machine B produce per hour?

1 C
2 6 mins
3 A
4 37.8 mins
5 1 hour, 12 mins.
6 D
7 E
8 D
9 D
10 D
11 E
12 E
13 C
14 B
15 60 golf clubs per hour