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

Harriet rode 1/4 of the total distance in the first 12 minutes.

Since Harriet took 48 minutes to ride the entire distance to the library, we can determine that she rode 12 minutes, which is one-fourth of the total time. Therefore, the distance she covered in the first 12 minutes is also one-fourth of the total distance.

A) 1/4
This choice correctly represents the \fraction of the total distance Harriet rode in the first 12 minutes. Since she rode for 12 minutes out of a total of 48 minutes, the \fraction of the distance is calculated as 12/48, which simplifies to 1/4.

B) 1/3
This choice suggests that Harriet rode one-third of the total distance in the first 12 minutes. However, since 12 minutes is not one-third of 48 minutes (which would be 16 minutes), this \fraction does not accurately represent the distance covered in that time frame.

C) 1/2
This choice implies that Harriet rode half of the total distance in the first 12 minutes. Given that 12 minutes is only a quarter of the total 48 minutes, this option is incorrect as it overestimates the distance covered in that time.

D) 3/4
This choice indicates that Harriet rode three-quarters of the total distance in the first 12 minutes. However, since 12 minutes is only 1/4 of the total time, this \fraction inaccurately represents the distance covered, as it suggests she traveled a much larger portion of the distance than she actually did.

Conclusion
Harriet's ride to the library illustrates the relationship between time and distance traveled at a constant rate. In 12 minutes, she covered 1/4 of the total distance based on the total time of 48 minutes. The other options misrepresent the \fraction of distance traveled in the initial time segment, reinforcing the importance of understanding proportional relationships in time and distance calculations.

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Harriet rode 1/4 of the total distance in the first 12 minutes.

Ellen's share of the profits was $738.

Alexia read 42 pages on the third day.

The area of the shaded region is 0.24.

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

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Harriet rode 1/4 of the total distance in the first 12 minutes.

Ellen's share of the profits was $738.

Alexia read 42 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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