if a runner runs 5 miles in 45 minutes what is their average speed in miles per hour
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HESI A2

Math HESI A2 Practice Test

1. If a runner runs 5 miles in 45 minutes, what is their average speed in miles per hour?

Correct answer: A

Rationale: To find the average speed, first, convert 45 minutes to hours (45/60 = 0.75 hours). Then, divide the distance by the time: 5 miles ÷ 0.75 hours = 6.67 mph. Choice A is correct because it accurately calculates the average speed based on the distance covered and time taken. Choice B is incorrect as it does not consider the time taken to cover the distance. Choice C is incorrect as it is higher than the calculated speed. Choice D is incorrect as it is higher and does not match the calculated average speed.

2. The height of a building is 150 feet. If each floor of the building is 12 feet high, how many floors are in the building?

Correct answer: A

Rationale: To determine the number of floors in the building, divide the total height of the building (150 feet) by the height of each floor (12 feet). 150 feet ÷ 12 feet per floor = 12.5 floors. Since floors cannot be in fractions, the answer is rounded down to the nearest whole number, which is 13 floors. Therefore, the correct answer is A: 13 floors. Choice B (15 floors) is incorrect because the calculation results in 12.5 floors, which should be rounded down. Choices C (10 floors) and D (18 floors) are incorrect as they do not accurately reflect the division result and rounding down process.

3. Subtract 5/6 - 3/4.

Correct answer: A

Rationale: To subtract fractions, find a common denominator. The common denominator for 6 and 4 is 12. So, 5/6 = 10/12 and 3/4 = 9/12. Subtracting 10/12 - 9/12 gives us 1/12 as the result. Choice A, 1/12, is the correct answer because it represents the simplified result of subtracting the fractions with the common denominator. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result of 1/12 after finding the common denominator.

4. Convert 0.007 kilograms to grams.

Correct answer: A

Rationale: To convert kilograms to grams, you need to multiply by 1000 since there are 1000 grams in a kilogram. Therefore, 0.007 kilograms is equal to 0.007 x 1000 = 7 grams. Choice A is correct. Choice B is incorrect as it incorrectly multiplies by 10 instead of 1000. Choice C is incorrect as it incorrectly moves the decimal point one place to the right. Choice D is incorrect as it incorrectly moves the decimal point two places to the right.

5. What is the result of multiplying 226 by 55.3?

Correct answer: B

Rationale: The correct answer is 12,541.8. To find this result, you multiply 226 by 55.3, which equals 12,541.8. Choices A, C, and D are incorrect because they do not reflect the accurate multiplication of 226 by 55.3.

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