if a marathon runner burns 2276 calories in 214 miles what is their rate of calories burned per mile

HESI A2

HESI A2 Math Practice

1. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

A. 107.5
B. 106.4
C. 105.6
D. 109.3

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

2. A train takes 1.5 hours at a constant speed of 65 mph to arrive at the destination. How many miles did the train travel?

A. 97.5 miles
B. 100 miles
C. 98 miles
D. 95 miles

Correct answer: A

Rationale: To calculate the distance traveled, multiply the speed by the time taken: 65 mph × 1.5 hours = 97.5 miles. Therefore, the correct answer is A. Choice B (100 miles) is incorrect as it results from rounding up, which is not necessary. Choice C (98 miles) and Choice D (95 miles) are incorrect as they do not reflect the correct calculation based on the given speed and time.

3. An IV drip delivers 40 drops per minute, each containing 1mg of medication. How many milligrams are administered in 3 hours (180 minutes)?

A. 360mg
B. 720mg
C. 7,200mg
D. 14,400mg

Correct answer: C

Rationale: In this scenario, to find the total amount of medication administered in 3 hours, we first calculate the total drops administered by multiplying the drops per minute by the total minutes. This gives us 40 drops/minute * 180 minutes = 7200 drops. Then, we convert the drops to milligrams by multiplying the total drops by the amount of medication in each drop, which is 1mg. Therefore, 7200 drops * 1mg/drop = 7200mg. The correct answer is 7,200mg. Choice A is incorrect as it miscalculates the total amount. Choice B is incorrect as it doubles the correct answer. Choice D is incorrect as it quadruples the correct answer.

4. In a class of 25 students, 44% are boys. How many boys are there?

A. 10 boys
B. 11 boys
C. 9 boys
D. 13 boys

Correct answer: B

Rationale: To find the number of boys in the class, calculate 44% of 25 students. 44% of 25 is calculated as follows: 0.44 x 25 = 11 boys. Therefore, there are 11 boys in the class. Choice A, 10 boys, is incorrect as it miscalculates the percentage. Choice C, 9 boys, is incorrect as it is less than 11. Choice D, 13 boys, is incorrect as it is greater than the correct calculation.

5. What is the result of 0.003 x 4.23?

A. 0.01269
B. 0.01029
C. 0.01419
D. 0.01329

Correct answer: A

Rationale: To find the product of 0.003 and 4.23, multiply the two numbers: 0.003 x 4.23 = 0.01269. Therefore, the correct answer is A, 0.01269. Choice B, 0.01029, is incorrect as it is the result of a different calculation. Choice C, 0.01419, is incorrect because it is not the product of 0.003 and 4.23. Choice D, 0.01329, is also incorrect as it does not represent the correct multiplication result.