HESI A2 Math

Correct Answer: C

Rationale: The correct answer is C (27 hours). The truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday, which is a total of 32 hours. To calculate the driving time, we subtract the time spent overnight (10 hours) from the total time, giving us 22 hours. However, we need to add the 5 hours the driver drove on Tuesday from 10:00 AM to 6:00 PM, totaling 27 hours. Choice A (28 hours) is incorrect because it does not account for the time spent overnight. Choice B (32 hours) is incorrect as it includes the entire duration of departure to arrival without considering the overnight stop. Choice D (15 hours) is incorrect as it does not consider the full duration of the trip.

Correct Answer: A

Rationale: To find the time for 4 workers to build 3 play sets, we use the formula: Time = (Total work) / (Rate of work). Given 2 workers take 18 hours to build 1 play set, their combined rate is 1/18 play set per hour. For 4 workers, the rate is 4 times faster, so it's 4/18 play sets per hour. To build 3 play sets, the total work is 3. Thus, Time = 3 / (4/18) = 27 hours. Choice A is correct. Choices B, C, and D are incorrect as they do not account for the increased efficiency of having more workers.

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.

Correct Answer: D

Rationale: The runner ran for 2 hours and 15 minutes (10:00 - 7:45). Distance = speed x time, so distance = 6 mph x 2.25 hours = 13.5 miles. The correct answer is D: 13.5 miles. Summary: A: 11.5 miles - Incorrect, less than the correct answer. B: 14.5 miles - Incorrect, more than the correct answer. C: 12 miles - Incorrect, less than the correct answer.

Correct Answer: A

Rationale: To calculate the annual dividend Mr. Rogers receives for his 400 shares, we need to find the dividend per share first. For Mr. Parker, the dividend per share is $180/150 = $1.20. So, for Mr. Rogers, with 400 shares, his annual dividend would be 400 x $1.20 = $480. Therefore, the correct answer is A: $480. Summary: - B: $500 is incorrect because it is not the correct calculation based on the given information. - C: $450 is incorrect as it is not the correct calculation based on the given information. - D: $72,000 is incorrect as it is an excessively high amount and not a reasonable dividend for owning 400 shares.