Question

harlem. s
question 2

• distance & time

what were doing:

• there are three popular track in egmont national park on which track to people tent to travel the slowest?

we start with conversion
(1) \\(6\text{ hr } 6\text{ min} \
ightarrow 366\\)
\\(6 \times 60 = 360 + 6 = 366\\)

(2) \\(11.7\text{ km} \
ightarrow 11700\\)
\\(11.7\text{ km} \times 1000 = 11700\text{ m}\\)

\\(\frac{11700}{366} = 32\\)
\\((32 \div 1000 = 0.032\text{ m})\text{ (per min)}\\)

2
3

Explanation:

🆕 New Concept Discovered: Average Speed Comparison
Comparing how fast objects travel by finding a common unit of speed.

Step 1: Understand the Goal

We want to find which of the three tracks people tend to travel the slowest on. To compare their speeds accurately, we need to calculate the average speed for each track using a consistent unit, such as meters per minute (\(\text{m/min}\)) or kilometers per hour (\(\text{km/h}\)).

The handwritten notes show the calculation for Track 1:

• Time: \(6\text{ hr } 6\text{ min} = 366\text{ min}\)
• Distance: \(11.7\text{ km} = 11,700\text{ m}\)
• Speed calculation:

$$ \frac{11,700\text{ m}}{366\text{ min}} \approx 31.97\text{ m/min} $$

• Note: The handwritten calculation shows \(32\text{ m/min}\), which was then incorrectly divided by \(1000\) to get \(0.032\text{ m/min}\) (it should be \(0.032\text{ km/min}\) or simply kept as \(32\text{ m/min}\)). Let's use meters per minute (\(\text{m/min}\)) as our standard unit of speed for comparison:

$$ \text{Speed for Track 1} \approx 32\text{ m/min} $$

---

Step 2: Analyze the Missing Data

To completely solve the question ("on which track do people tend to travel the slowest?"), we need the distance and time values for Track 2 and Track 3, which are currently blank in the table on the sheet.

Once those values are provided, we can calculate their speeds using the same formula:

$$ \text{Speed} = \frac{\text{Distance in meters}}{\text{Time in minutes}} $$

The track with the lowest calculated speed value is the one where people travel the slowest.

Answer:

Based on the provided notes, the average speed for Track 1 is approximately \(32\text{ meters per minute}\) (or \(1.92\text{ km/h}\)).

To determine which track is the absolute slowest, please provide the distance and time details for Track 2 and Track 3 to complete the comparison.