Question

A hiker ascended 3/4
of a kilometer in 1/16
of an hour. What was the mountain hiker's ascent rate in kilometers per hour?



What process will you use to solve this problem?

(1 point)
Responses

34−116
3 fourths minus 1 over 16

34×116
3 fourths times 1 over 16

34÷116
3 fourths divided by 1 over 16

116÷34
1 over 16 divided by 3 fourths
Question 2
What was the mountain hiker's ascent rate in kilometers per hour?(1 point)
kilometers per hour
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Answer 1

To solve the problem of finding the mountain hiker's ascent rate in kilometers per hour, we will use the formula for rate, which is given by:

\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}}
\]

In this case, the distance ascended is \( \frac{3}{4} \) kilometers, and the time taken is \( \frac{1}{16} \) of an hour.

### Step 1: Finding the ascent rate

1. **Set up the equation**:

\[
\text{Rate} = \frac{\frac{3}{4} \text{ km}}{\frac{1}{16} \text{ hr}}
\]

2. **Dividing fractions** (which is the same as multiplying by the reciprocal):

\[
\text{Rate} = \frac{3}{4} \div \frac{1}{16} = \frac{3}{4} \times \frac{16}{1}
\]

So, the answer corresponds to the operation \( \frac{3}{4} \div \frac{1}{16} \).

### Response to Question 1:
The correct response is:
**34÷116**
\( \frac{3}{4} \div \frac{1}{16} \)

### Step 2: Calculating the rate

Now, we can calculate the rate:

\[
\frac{3}{4} \times 16 = \frac{3 \times 16}{4} = \frac{48}{4} = 12
\]

Thus, the ascent rate is \( 12 \) kilometers per hour.

### Response to Question 2:
The mountain hiker's ascent rate is:
**12 kilometers per hour**.