Nursing Elites

1. A truck driver traveled 925 miles from 8 am Tuesday to 5 pm Wednesday. During that time, he stopped for 30 minutes for lunch and gas at 1 pm Tuesday. He stopped for the night at 7 pm and was back on the road at 5 am. What was his average speed?

• A. 42 mph
• B. 35 mph
• C. 30 mph
• D. 50 mph

Correct answer: A

Rationale: To find the average speed, divide the total distance traveled (925 miles) by the total time taken (22 hours). Subtracting the time for the lunch and gas stop (30 minutes) and overnight stop (7 pm to 5 am, 10 hours), we have a total elapsed time of 22 hours. Dividing 925 miles by 22 hours gives an average speed of approximately 42 mph. Choice B, 35 mph, is incorrect because it doesn't account for the total time spent including the stops. Choice C, 30 mph, is incorrect as it underestimates the speed. Choice D, 50 mph, is incorrect as it overestimates the speed.

2. If 3 nurses can care for 15 patients, how many nurses are needed for 25 patients?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: B

Rationale: To determine how many nurses are needed for 25 patients, set up a proportion: 3 nurses / 15 patients = x nurses / 25 patients. Cross multiply to solve for x: 3 * 25 = 15 * x. This simplifies to 75 = 15x. Divide both sides by 15 to find x = 5. Therefore, 5 nurses are needed for 25 patients. Choices A, C, and D are incorrect as they do not correspond to the correct calculation based on the given proportion.

3. Solve for x: x + 44 / 2x = 11.

• A. 13
• B. 33
• C. 55
• D. 2.5

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

4. What is the cost of building a fence around a square lawn with an area of 62,500 square meters at a rate of $5 per meter?

• A. $4,000
• B. $4,500
• C. $5,000
• D. $5,500

Correct answer: C

Rationale: To determine the cost of building a fence around the square lawn, first calculate the length of one side by finding the square root of the area: √62500 = 250 meters (length of one side). The perimeter of a square is four times the length of one side, so the perimeter of the lawn is 4 * 250 = 1000 meters. To find the cost of the fence, multiply the perimeter by the cost per meter: 1000 meters * $5/meter = $5000. Therefore, the correct answer is $5,000, which corresponds to choice C. Choice A ($4,000), choice B ($4,500), and choice D ($5,500) are incorrect as they do not accurately calculate the cost based on the given information.

5. If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs?

• A. $0.90
• B. $1.35
• C. $1.80
• D. $3.60

Correct answer: C

Rationale: If two blank CDs cost 36 cents, each blank CD costs 18 cents (36 cents / 2). To find the cost of 10 blank CDs, you multiply the cost of one CD by the total number of CDs: 18 cents x 10 = $1.80. Therefore, it would cost $1.80 to buy 10 blank CDs. Choice A ($0.90) is incorrect because it miscalculates the cost per CD. Choice B ($1.35) is incorrect as it doesn't consider the total number of CDs. Choice D ($3.60) is incorrect as it miscalculates the cost of one CD.

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