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37 votes
37 votes
Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 2 3/4minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes, in feet?

User Unmounted
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1 Answer

17 votes
17 votes

Answer:

Ariele will be 52.47 feet from the rim after 15 minutes.

Explanation:

To solve this problem, we need to first convert the time in minutes to a decimal value. To do this, we can divide the number of minutes by the number of minutes per hour (60 minutes). We can then multiply this decimal value by the distance Ariele hikes in 1 minute to find out how far she hikes in 15 minutes.

First, we convert 2 3/4 minutes to a decimal value:

2 3/4 minutes = 2 + 3/4

2 3/4 minutes = 2.75 minutes

Then, we divide this value by the number of minutes per hour to get the decimal value:

2.75 minutes / 60 minutes/hour = 0.046 hours

Now that we have the time in hours, we can multiply it by the distance Ariele hikes in 1 minute to find out how far she hikes in 15 minutes:

0.046 hours * 55 feet/minute = 2.53 feet

Therefore, Ariele will be 55 - 2.53 = 52.47 feet from the rim after 15 minutes.

User Akash Kundu
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