Let's go through the calculation step by step to determine the average velocity for each leg of the trip and then sort them in ascending order (from lowest velocity to highest).
### Step 1: List the distances and times for each leg of the trip
- Leg A: Distance = 15 km, Time = 10 min
- Leg B: Distance = 20 km, Time = 15 min
- Leg C: Distance = 24 km, Time = 12 min
- Leg D: Distance = 36 km, Time = 9 min
- Leg E: Distance = 14 km, Time = 14 min
### Step 2: Convert the times from minutes to hours
Since we are calculating velocities in km/min, converting time to hours is not necessary. We will keep the time in minutes to stay consistent.
### Step 3: Calculate the velocity for each leg
Velocity is computed as distance divided by time. For each leg:
1. Leg A:
```
Velocity = Distance / Time = 15 km / 10 min = 1.5 km/min
```
2. Leg B:
```
Velocity = Distance / Time = 20 km / 15 min ≈ 1.333 km/min
```
3. Leg C:
```
Velocity = Distance / Time = 24 km / 12 min = 2.0 km/min
```
4. Leg D:
```
Velocity = Distance / Time = 36 km / 9 min = 4.0 km/min
```
5. Leg E:
```
Velocity = Distance / Time = 14 km / 14 min = 1.0 km/min
```
### Step 4: List the velocities in ascending order
Now, let's list the computed velocities in ascending order:
- Leg E: Velocity = 1.0 km/min
- Leg B: Velocity ≈ 1.333 km/min
- Leg A: Velocity = 1.5 km/min
- Leg C: Velocity = 2.0 km/min
- Leg D: Velocity = 4.0 km/min
### Step 5: Arrange the legs by velocity in ascending order
Based on the velocities we calculated and sorted, the order from lowest to highest velocity is:
1. Leg E
2. Leg B
3. Leg A
4. Leg C
5. Leg D
### Conclusion
To summarize, the resulting average velocities of the legs (km/min) in ascending order are as follows:
- 1.0, 1.333, 1.5, 2.0, 4.0
And the corresponding legs from lowest to highest velocity are:
- Leg E
- Leg B
- Leg A
- Leg C
- Leg D
