Kate rode her bicycle to visit her grandmother. The trip to Kateandrsquo;s grandmotherandrsquo;s house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmotherandrsquo;s house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?a)3mb)2mc)m + 1/2d)3m/2e)m/2Correct answer is option 'D'. Can you explain this answer?

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Kate rode her bicycle to visit her grandmother. The trip to Kate’s grandmother’s house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmother’s house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?

a)
3m
b)
2m
c)
m + 1/2
d)
3m/2
e)
m/2

Correct answer is option 'D'. Can you explain this answer?

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Kate rode her bicycle to visit her grandmother. The trip to Kate&rsquo...

The correct answer is d. According to the problem, Kate traveled distance d in m minutes on the way to her grandmother’s house, and she traveled distance d in 1/2 m minutes (because she went twice as fast, it took her half as long) on the way back.
The total number of minutes traveled would be equal to the number of minutes Kate traveled to her grandmother’s house and back:

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Kate rode her bicycle to visit her grandmother. The trip to Kate&rsquo...

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Kate rode her bicycle to visit her grandmother. The trip to Kate&rsquo...

Explanation:

Given:
Kate rode uphill to her grandmother's house for m minutes.
Kate rode downhill on her way back at twice the speed.

Calculating Time:
- Let the time taken for the trip downhill be x minutes.
- Since Kate rode at twice the speed downhill, the time taken uphill would be 2x minutes.
Therefore, the total time Kate spent biking on her entire trip is:
m + 2x + x = 3x + m
So, the total number of minutes Kate bicycled on her entire trip is 3m/2.

Final Answer:
The correct option is 3m/2 (Option D).

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Kate rode her bicycle to visit her grandmother. The trip to Kate’s grandmother’s house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmother’s house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?a)3mb)2mc)m + 1/2d)3m/2e)m/2Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Kate rode her bicycle to visit her grandmother. The trip to Kate’s grandmother’s house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmother’s house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?a)3mb)2mc)m + 1/2d)3m/2e)m/2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kate rode her bicycle to visit her grandmother. The trip to Kate’s grandmother’s house was mostly uphill, and took m minutes. On the way home, Kate rode mostly downhill and was able to travel at an average speed twice that of her trip to her grandmother’s house. Which of the following expresses the total number of minutes that Kate bicycled on her entire trip?a)3mb)2mc)m + 1/2d)3m/2e)m/2Correct answer is option 'D'. Can you explain this answer?.

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