Question
A hiker is climbing a mountain that has an elevation gain of 3,200 feet. If the hiker has already climbed 3/4 of the way, what is their current elevation?
Answers
GPT-4o mini
To calculate the current elevation of the hiker, we first need to determine how much of the elevation gain has already been climbed.
The total elevation gain is 3,200 feet, and the hiker has climbed \( \frac{3}{4} \) of that amount.
To find the elevation climbed:
\[
\text{Elevation climbed} = \frac{3}{4} \times 3,200 \text{ feet}
\]
Calculating this:
\[
\text{Elevation climbed} = \frac{3 \times 3,200}{4} = \frac{9,600}{4} = 2,400 \text{ feet}
\]
Thus, the current elevation of the hiker is:
\[
\text{Current elevation} = 2,400 \text{ feet}
\]
The hiker's current elevation is **2,400 feet**.
The total elevation gain is 3,200 feet, and the hiker has climbed \( \frac{3}{4} \) of that amount.
To find the elevation climbed:
\[
\text{Elevation climbed} = \frac{3}{4} \times 3,200 \text{ feet}
\]
Calculating this:
\[
\text{Elevation climbed} = \frac{3 \times 3,200}{4} = \frac{9,600}{4} = 2,400 \text{ feet}
\]
Thus, the current elevation of the hiker is:
\[
\text{Current elevation} = 2,400 \text{ feet}
\]
The hiker's current elevation is **2,400 feet**.