if a train travels at 80 kilometers per hour how many kilometers will it travel in 3 hours

HESI A2

HESI A2 Math

1. If a train travels at 80 kilometers per hour, how many kilometers will it travel in 3 hours?

A. 240 kilometers
B. 160 kilometers
C. 240 kilometers
D. 210 kilometers

Correct answer: A

Rationale: To find the total distance traveled, you need to multiply the speed of the train by the time it travels. So, 80 km/h * 3 hours = 240 kilometers. Therefore, the correct answer is 240 kilometers. Choice B (160 kilometers) is incorrect because it is the result of multiplying the speed by 2 hours instead of 3. Choice C (240 kilometers) is the same as the correct answer, making it redundant. Choice D (210 kilometers) is incorrect as it is the result of multiplying the speed by 2.5 hours instead of 3.

2. Express 4/5 as a percent.

A. 20%
B. 40%
C. 50%
D. 80%

Correct answer: D

Rationale: To convert a fraction to a percentage, you multiply the fraction by 100. To express 4/5 as a percent, you perform the calculation 4/5 * 100 = 80%. Therefore, the correct answer is D, 80%. Choices A, B, and C are incorrect as they do not represent the correct conversion of 4/5 to a percentage.

3. Calculate the product of the following decimals: (0.67)(0.09)

A. 0.0603
B. 0.6
C. 0.603
D. 0.06

Correct answer: A

Rationale: To multiply decimals, align the numbers as whole numbers, multiply as if they were whole numbers, then adjust the decimal point in the final answer. When multiplying 0.67 by 0.09, the result is 0.0603. To get this result, multiply 67 by 9 to get 603, then adjust the decimal point two places to the left in the final product, resulting in 0.0603. Choice B, 0.6, is incorrect because it does not account for the decimal precision in the multiplication. Choice C, 0.603, is incorrect as it has the digits reversed when compared to the correct answer. Choice D, 0.06, is incorrect as it does not reflect the correct product of the two decimals being multiplied.

4. How many milliliters are in 3 liters?

A. 300 milliliters
B. 3000 milliliters
C. 1500 milliliters
D. 300 milliliters

Correct answer: B

Rationale: The correct answer is B: 3000 milliliters. There are 1,000 milliliters in a liter. Therefore, 3 liters = 3 × 1,000 = 3,000 milliliters. Choice A (300 milliliters) is incorrect as it represents the conversion of 0.3 liters, not 3 liters. Choice C (1500 milliliters) is incorrect as it is halfway between the correct answer and a common mistake of confusing liters with milliliters. Choice D (300 milliliters) is incorrect as it is the conversion of 0.3 liters, not 3 liters.

5. How many inches are in 1.5 yards?

A. 54 inches
B. 60 inches
C. 72 inches
D. 84 inches

Correct answer: A

Rationale: To convert yards to inches, multiply the number of yards by 36 (since there are 36 inches in a yard). 1.5 yards × 36 inches/yard = 54 inches. Therefore, the correct answer is 54 inches. Choice B, 60 inches, is incorrect as it incorrectly assumes that there are 40 inches in a yard. Choice C, 72 inches, is incorrect as it multiplies 1.5 by 48, which is not the correct conversion factor. Choice D, 84 inches, is incorrect as it multiplies 1.5 by 56, which is not the correct conversion factor.