a train travels 65 mph for 15 hours how far did it travel
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HESI A2

HESI A2 Math Practice

1. A train travels at 65 mph for 1.5 hours. How far did it travel?

Correct answer: A

Rationale: To find the distance traveled, multiply the speed of the train (65 mph) by the time it traveled (1.5 hours): 65 mph × 1.5 hours = 97.5 miles. Therefore, the train traveled 97.5 miles. Choice B, 95 miles, is incorrect as it does not account for the correct calculation. Choice C, 100 miles, is incorrect as it is a rounded-up value. Choice D, 100.5 miles, is incorrect as it is a miscalculation.

2. If Kevin can wash 30 cars in 15 minutes, how many minutes will it take him to wash 100 cars?

Correct answer: A

Rationale: To find out how many minutes Kevin will take to wash 100 cars, set up a proportion: 30 cars is to 15 minutes as 100 cars is to x minutes. Cross multiplying gives 30x = 1500. Solving for x, x = 1500 / 30 = 50. Therefore, it will take Kevin 50 minutes to wash 100 cars. Choice A is correct. Choice B, C, and D are incorrect as they do not correctly calculate the time needed based on the given information.

3. A nurse is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The drainage bag denotes a total of 1,000 mL for the past 24 hours. The total intake is: 2 8oz cups of coffee, 1 16-oz serving of clear soup, and 1 pint of water consumed throughout the day. How much is the deficit in milliliters?

Correct answer: A

Rationale: First, convert all fluid intake to milliliters: 2 8-oz cups of coffee = 8 × 2 × 30 = 480 mL 1 16-oz serving of clear soup = 16 × 30 = 480 mL 1 pint of water = 16 × 30 = 480 mL Total intake = 480 + 480 + 480 = 1440 mL. The patient produced 1,000 mL, so the deficit is: 1440 mL - 1000 mL = 440 mL. Therefore, the deficit in milliliters is 440 mL. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the accurate deficit calculated based on the total intake and output provided in the question.

4. Change the following fraction into a ratio: 19/40

Correct answer: A

Rationale: To change a fraction into a ratio, you replace the fraction bar (/) with a colon (:). Therefore, 19/40 as a ratio is written as 19:40. Choice B (40:19) is incorrect as it reverses the order of the numbers. Choice C (19:4) is incorrect as it uses the denominator as the second number, which is not the correct way to represent a ratio. Choice D (40:4) is incorrect as it does not reflect the original fraction accurately.

5. What is the ratio of women to the total number of students in the class?

Correct answer: A

Rationale: To find the ratio of women to the total number of students, you need to simplify the ratio of 16:28. By dividing both numbers by the greatest common factor, which is 4, you get 4:7. Therefore, the correct ratio of women to the total number of students is 4:7. Choice A is correct. Choices C and D are incorrect because they do not represent a valid ratio. Choice B is the original ratio given in the question, which should be simplified to 4:7 as explained in the rationale.

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