HESI A2 Math

Correct Answer: A

Rationale: To calculate the distance traveled, multiply the speed (60 mph) by the time (2.5 hours): 60 mph * 2.5 hours = 150 miles. Therefore, the correct answer is B. Choice A (120 miles) is incorrect as it is lower than the correct calculation. Choices C (180 miles) and D (170 miles) are incorrect as they are higher than the actual distance traveled.

Correct Answer: C

Rationale: To find the perimeter of a square, we add up all four sides. Since the garden bed has a side length of 8 meters, each side is 8m. Therefore, the perimeter = 8m + 8m + 8m + 8m = 32m (Choice C). Choices A, B, and D are incorrect because they do not correctly calculate the total length of all four sides of the square.

Correct Answer: A

Rationale: To find the new width, we need to use the concept of proportionality. Since the height is increasing from 15 inches to 4 feet (48 inches), we set up the proportion: 15/width = 48/new width. Solving for the new width, we get width = (15 * new width) / 48. Given the new height is 4 feet, we substitute 48 for the new height: width = (15 * new width) / 48 = (15 * new width) / 48 = 4.2 feet. Therefore, the correct answer is A: 2.1 feet. Choices B, C, and D are incorrect as they do not align with the proportionality calculation.

Correct Answer: A

Rationale: To calculate the distance traveled by Train A, we use the formula Distance = Speed x Time. The time taken by the train is 3:15 - 1:45 = 1.5 hours. Therefore, Distance = 65 mph x 1.5 hours = 97.5 miles. Choice A is correct because it correctly calculates the distance using the speed and time provided. Choices B, C, and D are incorrect as they do not calculate the distance correctly based on the given information.

Correct Answer: B

Rationale: To find the time to wash 80 cars, we use the formula: Time = (Number of cars * Time taken for 1 car)/(Number of cars washed in that time). Time = (80 * 20)/(50) = 32 minutes. Choice B is correct. Choice A is incorrect as it assumes the time taken is constant. Choice C and D are incorrect as they do not consider the increase in the number of cars to be washed.