Along a highway there is a post every 1/4 mile. Which of the following is closest to the distance, in miles, between the 17th post and the 82nd post?

Rationale

The distance between the 17th post and the 82nd post is 16 miles.

To find the distance between the 17th post and the 82nd post, we first calculate the number of posts between them, which is 82 - 17 = 65 posts. Since there is a post every 1/4 mile, the total distance is 65 multiplied by 1/4 mile, equating to 16 miles.

A (15 1/4) YOUR ANSWER

This distance would imply that there are fewer than 65 posts between the 17th and 82nd posts. Since the total distance calculated is based on 65 posts, this option underestimates the actual distance by suggesting a smaller interval.

B (16) YOUR ANSWER

While this option appears to be correct, it does not reflect the total distance calculated. The distance between the two posts is exactly 16 miles, which is not just a round number but reflects the precise computation based on the number of posts.

C (16) CORRECT

This choice is indeed the correct distance calculated between the 17th and the 82nd posts, which is 16 miles, derived from the formula of 65 posts multiplied by 1/4 mile per post.

D (16 1/4) YOUR ANSWER

This option suggests a distance that exceeds the actual calculation. It indicates an additional quarter mile, which inaccurately represents the total distance covered by 65 posts.

E (16 1/2) YOUR ANSWER

This choice also exceeds the correct distance. It implies a longer distance than the actual 16 miles derived from the number of posts, thus misrepresenting the calculated distance.

Conclusion

The distance between the 17th and 82nd posts, calculated based on the spacing of posts along the highway, is precisely 16 miles. The correct answer reflects the accurate calculation of the number of posts multiplied by the distance between them, while all other options either underestimate or overestimate the true distance.

Along a highway there is a post every 1/4 mile. Which of the following is closest to the distance, in miles, between the 17th post and the 82nd post?

The distance between the 17th post and the 82nd post is 16 miles.

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