two workers can finish building a play set in 18 hours how long will it take 4 workers to build 3 play sets
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HESI A2

HESI A2 Math

1. If two workers can finish building a play set in 18 hours, how long will it take 4 workers to build 3 play sets?

Correct answer: A

Rationale: If 2 workers can complete building one play set in 18 hours, it means one worker would take 36 hours to complete the same task. When the number of workers is doubled to 4, the time is halved, so 4 workers would take 18 hours to build one play set. To build 3 play sets, the total time needed would be 3 times the time for one play set, which equals 54 hours. Therefore, 4 workers can build 3 play sets in 27 hours, making choice A the correct answer. Choices B, C, and D are incorrect because they do not account for the correct relationship between the number of workers and the time required to complete the task.

2. Find the value of x if x:15=120:225.

Correct answer: A

Rationale: To solve x:15=120:225, set it up as a proportion: x/15 = 120/225. Simplify the right-hand side: 120/225 = 8/15. Now, solve for x by cross-multiplying: x = 8. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not align with the correct calculations.

3. What is 20% of 150?

Correct answer: B

Rationale: To find 20% of 150, you need to multiply 150 by 0.20: 150 × 0.20 = 30. Therefore, 20% of 150 is indeed 30. Choice A (25) is incorrect as it represents 20% of 125, not 150. Choice C (35) is incorrect as it represents more than 20% of 150. Choice D (20) is incorrect as it is the original percentage to find.

4. 12 is a/an:

Correct answer: A

Rationale: Rationale: - An even number is an integer that is exactly divisible by 2, meaning there is no remainder when divided by 2. - The number 12 can be divided by 2 evenly, as 12 ÷ 2 = 6, with no remainder. - Therefore, 12 is classified as an even number.

5. Subtract 32 divided by 8\9.

Correct answer: A

Rationale: 32 ÷ (8\9) is the same as 32 × (9\8) = 36.

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