a runner leaves at 745 for a morning run at an average speed of 6 mph and returns at 1000 how many miles did he run
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HESI A2

HESI A2 Math

1. A runner leaves at 7:45 for a morning run at an average speed of 6 mph and returns at 10:00. How many miles did he run?

Correct answer: D

Rationale: The runner left at 7:45 and returned at 10:00, which means he ran for 2 hours and 15 minutes (10:00 - 7:45). At an average speed of 6 mph, in 2.25 hours, he would have covered 6 mph * 2.25 hours = 13.5 miles. Therefore, the correct answer is 13.5 miles. Choices A, B, and C are incorrect because they incorrectly calculate the distance based on the time and speed provided in the question.

2. An office manager makes photocopies for the entire staff each day. At the end of the week, she finds that the photocopy machine has made a total of 3,475 copies. If 6 people used the copier and each person made the same number of copies, how many copies did each person make?

Correct answer: A

Rationale: To find out how many copies each person made, divide the total number of copies made (3,475) by the number of people who used the copier (6). This gives 579 copies per person (3,475 ÷ 6 = 579). Therefore, each person made 579 copies. Choices B, C, and D are incorrect as they do not result from the correct division of the total number of copies by the number of people who used the copier.

3. How many centimeters are in 6 meters?

Correct answer: A

Rationale: To convert meters to centimeters, you need to multiply the number of meters by 100 since there are 100 centimeters in 1 meter. Therefore, 6 meters is equal to 6 * 100 = 600 cm. Choice A is correct. Choice B (60 cm) is incorrect because it represents the conversion of 0.6 meters to centimeters. Choice C (1000 cm) is incorrect because it represents the conversion of 10 meters to centimeters. Choice D (500 cm) is incorrect because it is halfway between the conversions of 5 meters (500 cm) and 6 meters (600 cm).

4. What is 39 ÷ 8 ÷ 7/6?

Correct answer: A

Rationale: To solve the division problem, we need to remember the rule 'Dividing by a fraction is the same as multiplying by its reciprocal.' Therefore, 39 ÷ 8 ÷ 7/6 is equivalent to 39 ÷ 8 × 6/7. Simplifying this gives (39 × 6) ÷ (8 × 7) = 234 ÷ 56 = 56/39. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly simplify the given division problem.

5. What is (12/15) ÷ (3/5) = ?

Correct answer: A

Rationale: To divide fractions, you multiply by the reciprocal of the divisor. (12/15) ÷ (3/5) is the same as (12/15) * (5/3). Cancel out common factors to simplify: 12 ÷ 3 = 4, 15 ÷ 5 = 3. So, the expression simplifies to 4/3, which is 1 1/3 in mixed number form. Choice A, 1 1/3, is the correct answer. Choices B, C, and D are incorrect because they do not represent the simplified form of the division of the given fractions.

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