ACCUPLACER Next-Generation Arithmetic Scores

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Question 1

Harriet took 48 minutes to ride her bike the distance from her house to the town library. If she rode at a constant rate, what fraction of the total distance did she ride in the first 12 minutes?

Your Answer: Option(s)

Correct Answer: Option(s) A

Rationale

A) 1/4 is the correct answer.

Harriet's bike ride took a total of 48 minutes. If we want to find out what fraction of the total distance she covered in the first 12 minutes, we simply divide the 12 minutes by the total time of 48 minutes. This results in a fraction of 1/4, which means Harriet rode a quarter of the total distance in the first 12 minutes.

B) 1/3
This answer would be correct if Harriet had ridden for 16 minutes, not 12, because 16 minutes is one-third of 48 minutes. However, the question specifies that we are looking for the fraction of the total distance she rode in the first 12 minutes, which is only a quarter of the total time.

C) 1/2
This is not correct because 1/2 of 48 minutes is 24 minutes. The question asks for the fraction of the total distance she rode in the first 12 minutes. Therefore, this option overestimates the proportion of the journey completed in the first 12 minutes.

D) 3/4
This option would be correct if Harriet had ridden for 36 minutes because 36 minutes is three-quarters of 48 minutes. However, the question specifies that we want to know the fraction of distance she rode in the first 12 minutes. Hence, this answer significantly overestimates the proportion of the journey completed in the first 12 minutes.

Conclusion
The question asks for the fraction of the total distance Harriet rode in the first 12 minutes. Given that the total duration of her ride was 48 minutes, the fraction of the total distance she rode in the first 12 minutes is 12/48, simplifying to 1/4. Other options represent fractions of the total time that do not correspond to the first 12 minutes of her ride.

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A) 1/4 is the correct answer.

Ellen's share of the profits was $738.

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A) 1/4 is the correct answer.

Ellen's share of the profits was $738.

Alexia read 4200% of the book's pages on the third day.

The area of the shaded region is 0.24.

3(100 - 10) - (20 - 5) evaluates to 255.

Free Preview Ended

Unlock Full Access

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