A hiker ascended 34

Question

of a kilometer in 116
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

Answer 1

To find the ascent rate in kilometers per hour, you need to divide the distance (in kilometers) by the time (in hours).

The process to solve the problem:

1. Identify the distance: 34 kilometers.

2. Identify the time: 116 hours.

3. Divide the distance by the time:

   \[ \text{Ascent rate} = \frac{34 \text{ km}}{116 \text{ hours}} \]

This means the correct choice from the initial responses to the process is:

34 ÷ 116 (3 fourths divided by 1 over 16)

Question 2: What was the mountain hiker's ascent rate in kilometers per hour?

First, calculate the ascent rate:

\[ \text{Ascent rate} = \frac{34}{116} \approx 0.2931 \text{ kilometers per hour} \]

To express it in a simpler fraction:

\[ \frac{34}{116} = \frac{17}{58} \text{ (simplifying by dividing both by 2)} \]

Thus, the mountain hiker's ascent rate is approximately 0.29 kilometers per hour.

Or as a fraction: 17/58 kilometers per hour.