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1. A single-engine plane and a car start from a town at 6 A.M. and head for a town 450 mi. away. The rate of the plane is three times the rate of the car. The plane arrives 6 hours ahead of the car. Find the rate of the plane.
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| a) |
150 mph |
b) |
160 mph |
c) |
170 mph |
d) |
180 mph |
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| 2. A student can type a 42-page term paper in 3 hours. With a friend's assistance, the paper can be typed in 2 hours. How long would it take the friend working alone to type the paper? |
| a) |
7 hours |
b) |
6 hours |
c) |
8 hours |
d) |
9 hours |
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| 3. Water from a tank is being used for irrigation at the same time as the tank is being filled. The two inlet pipes can fill the tank in 5 hours and 10 hours, respectively. The outlet pipe can empty the tank in 20 hours. How long will it take to fill the tank when alll three pipes are open? |
| a) |
3 hours |
b) |
5 hours |
c) |
6 hours |
d) |
4 hours |
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| 4. A jet can fly at a rate of 525 mph in calm air. Traveling with the wind, the plane flew 1,815 mi. in the same amount of time as it flew 1,335 mi. against the wind. Find the rate of the wind. |
| a) |
80 mph |
b) |
85 mph |
c) |
95 mph |
d) |
75 mph |
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| 5. One printer can print the paychecks for the employees of a company in 80 min. A second printer can print the checks in 120 min. How long would it take to print the checks with both printers operating? |
| a) |
48 min. |
b) |
49 min. |
c) |
47 min. |
d) |
46 min. |
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| 6. The national debt is 2X10 to the 12th power dollars. How much would each American citizen have to pay in order to pay off the national debt? Use a figure of two hundred million for the number of citizens. |
| a) |
2X10 to the 4th power dollars |
b) |
1x10 to the 4th power dollars |
c) |
1X10 to the -4th power dollars |
d) |
1X10 to the 3rd power dollars |
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| 7. A motorboat can travel at 15 mph in still water. Traveling with the current of a river the boat can travel 40 mi. in the same amount of time it takes to go 20 mi. against the current. Find the rate of the current. |
| a) |
5 mph |
b) |
4 mph |
c) |
6 mph |
d) |
7 mph |
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| 8. An average jogger burns 100 calories by jogging 1 mi. How many miles would a jogger need to cover in order to burn 475 calories? |
| a) |
7.80 mi. |
b) |
4.75 mi. |
c) |
4.80 mi. |
d) |
3.75 mi. |
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| 9. How many grams of a 3% salt solution must be mixed with 40 g. of an 8% salt solution to make a 5% salt solution? |
| a) |
70 g. |
b) |
80 g. |
c) |
90 g. |
d) |
60 g. |
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| 10. A mason can construct a retaining wall in 16 hours. The mason's apprentice can do the job in 24 hours. How long would it take to construct a wall when they work together? |
| a) |
9.6 hours |
b) |
9.7 hours |
c) |
10.7 hours |
d) |
8.6 hours |
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| 11. A plane can fly at a rate of 175 mph in calm air. Traveling with the wind, the plane flew 615 mi. in the same amount of time as it flew 435 mi. against the wind. Find the rate of the wind. |
| a) |
35 mph |
b) |
25 mph |
c) |
45 mph |
d) |
30 mph |
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| 12. In a wildlife preserve, 50 ducks are captured, tagged and then released. Later 120 ducks are examined and two of the 120 ducks are found to have tags. Estimate the number of ducks in the preserve. |
| a) |
3,500 |
b) |
3,000 |
c) |
2,500 |
d) |
1,500 |
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| 13. A sales executive traveled 55 mi. by car and then an additional 990 mi. by plane. The rate of the plane was six times faster than the rate of the car. The total time of the trip was 4 hours. Find the rate of the plane. |
| a) |
333 mph |
b) |
330 mph |
c) |
430 mph |
d) |
150 mph |
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| 14. The weight of 31 million orchid seeds is one ounce. Find the weight of one orchid seed. |
| a) |
3.225806 X 10 to the -8th power oz. |
b) |
31.00 X 10 to the -8th power oz. |
c) |
3.22 X 10 to the -9th power oz. |
d) |
31.00 X 10 to the 8th power oz. |
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| 15. A car radiator contains 12 qt. of a 40% antifreeze solution. How many quarts will have to be replaced with pure antifreeze if the resulting solution is to be 60% antifreeze? Round to the nearest tenth. |
| a) |
6 qt. |
b) |
4 qt. |
c) |
7 qt. |
d) |
3 qt. |
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| 16. An express train and a car leave a town at 3 P.M. and head for a town 280 mi. away. The rate of the express train is twice the rate of the car. The train arrives 4 hours ahead of the car. Find the rate of the train. |
| a) |
65 mph |
b) |
70 mph |
c) |
73 mph |
d) |
75 mph |
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| 17. Eight ounces of an insecticide is mixed with 24 gal. of water to make a spray for spraying an orange grove. How much additional insecticide is required to be mixed with 60 gal. of water? |
| a) |
14 oz. |
b) |
16 oz. |
c) |
20 oz. |
d) |
12 oz. |
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| 18. One member of a gardening team can mow and clean up a lawn in 6 hours. With both members of the team working, the job can be done in 4 hours. How long would it take the second member of the team, working alone, to do the job? |
| a) |
12 hours |
b) |
22 hours |
c) |
18 hours |
d) |
16 hours |
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| 19. The rate of a bicyclist is 7 mph faster than the rate of a long distance runner. The bicyclist travels 30 mi. in the same amount of time as the runner travels 16 mi. Find the rate of the runner. |
| a) |
9 mph |
b) |
11 mph |
c) |
13 mph |
d) |
8 mph |
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| 20. An express bus travels 310 mi. in the same amount of time as a car travels 275 mi. The rate of the car is 7 mph less than the rate of the bus. Find the rate of the bus. |
| a) |
65 mph |
b) |
60 mph |
c) |
62 mph |
d) |
55 mph |
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| 21. How many kilograms of a 4% solution must be mixed with 10 kg of a 10% solution to make an 8% solution? |
| a) |
6.0 kg |
b) |
5.5 kg |
c) |
6.5 kg |
d) |
5.0 kg |
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| 22. Three computers can print out a task in 20 min., 30 min. and 60 min. respectively. How long would it take to complete the task when all three computers are working? |
| a) |
10 min. |
b) |
11 min. |
c) |
12 min. |
d) |
9 min. |
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| 23. A goldsmith mixed 10 g. of a 50% gold alloy with 40 g. of a 15% gold alloy. What is the percent concentration of the resulting alloy? |
| a) |
20% |
b) |
23% |
c) |
22% |
d) |
25% |
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| 24. A 26-foot ladder is leaning against a building. How far is the bottom of the ladder from the wall when the ladder reaches a height of 24 ft. on the building? |
| a) |
10 ft. |
b) |
9 ft. |
c) |
12 ft. |
d) |
11 ft. |
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| 25. It is estimated that a car traveling at 20 mph has an emergency stopping distance of 24 ft. Using the estimate, what is the additional number of feet that would be required for an emergency stop for a car traveling at 24 mph? |
| a) |
5.8 ft. |
b) |
3.8 ft. |
c) |
3.6 ft. |
d) |
4.8 ft. |
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