ASVAB Arithmetic Reasoning Practice Test 4: Speed, Work, Averages and Measurement
- Speed, Work, Averages and Measurement
- 10 questions
- 15 minutes
These problems cover distance and speed, jobs done at different rates, averages and converting units of time and length. Write the units next to each number so you can see what the answer should be measured in.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
A helicopter flies 210 miles in 1 hour and 45 minutes. What is its average speed?
Correct answer: C
1 hour 45 minutes is 1.75 hours, and 210 ÷ 1.75 = 120 miles per hour. Treating the time as 1.5 hours gives the wrong answer 140.
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Question 2
An inlet pipe can fill a tank in 6 hours. A drain can empty the full tank in 9 hours. If the tank starts empty and both are open, how long will it take to fill the tank?
Correct answer: A
Each hour the pipe adds 1/6 of the tank and the drain removes 1/9, so the tank gains 1/6 − 1/9 = 1/18 per hour and fills in 18 hours. The answer 3.6 hours treats the drain as a second filling pipe.
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Question 3
The average of five numbers is 14. When one number is removed, the average of the other four is 12. What number was removed?
Correct answer: D
The five numbers add up to 5 × 14 = 70 and the remaining four add up to 4 × 12 = 48. The removed number is 70 − 48 = 22.
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Question 4
A board 8 feet 6 inches long is cut into 3 pieces of equal length. Ignoring the width of the saw cuts, how long is each piece?
Correct answer: B
The board is 8 × 12 + 6 = 102 inches long, and 102 ÷ 3 = 34 inches, which is 2 feet 10 inches. The answer 2 feet 8 inches divides only the 8 feet and leaves out the extra 6 inches.
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Question 5
A convoy leaves the base at 0640 and arrives at its destination at 1515 (military time). How long does the trip take?
Correct answer: D
From 0640 to 1440 is 8 hours, and from 1440 to 1515 is 35 more minutes, so the trip takes 8 hours 35 minutes.
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Question 6
A room is 12 feet wide and 15 feet long. Carpet is sold by the square yard. How many square yards of carpet are needed to cover the floor exactly?
Correct answer: B
The area is 12 × 15 = 180 square feet. One square yard is 3 ft × 3 ft = 9 square feet, so 180 ÷ 9 = 20 square yards. Dividing by 3 instead of 9 gives the wrong answer 60.
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Question 7
A group of 30 recruits has an average test score of 80. A second group of 20 recruits has an average score of 90. What is the average score of all 50 recruits?
Correct answer: A
The total of all scores is 30 × 80 + 20 × 90 = 2,400 + 1,800 = 4,200, and 4,200 ÷ 50 = 84. The answer 85 simply averages 80 and 90 and ignores that the first group is larger.
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Question 8
Two runners start at the same point on a 400-meter track and run in opposite directions. One runs 5 meters per second and the other runs 3 meters per second. After how many seconds do they first meet?
Correct answer: C
Running toward each other around the track, they close the 400-meter gap at 5 + 3 = 8 meters per second, so they meet after 400 ÷ 8 = 50 seconds. The answer 200 uses the difference of the speeds, which applies only when they run in the same direction.
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Question 9
A medic must give 1.2 liters of fluid at a steady rate over 4 hours. How many milliliters is that per minute?
Correct answer: C
1.2 liters is 1,200 milliliters and 4 hours is 240 minutes, so the rate is 1,200 ÷ 240 = 5 milliliters per minute. The answer 300 is the rate per hour.
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Question 10
A worker earns $18 per hour for the first 40 hours of a week and 1.5 times that rate for every hour over 40. How much does the worker earn for a 46-hour week?
Correct answer: A
Regular pay is 40 × $18 = $720. Overtime pays $18 × 1.5 = $27 per hour, and 6 × $27 = $162. The total is $720 + $162 = $882. The answer $828 pays all 46 hours at $18.
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