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Lori's family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip from lowest velocity to highest.

\begin{tabular}{|c|c|c|}
\hline
Leg & Distance [tex]$(km)$[/tex] & Time (min) \\
\hline
A & 15 & 10 \\
\hline
B & 20 & 15 \\
\hline
C & 24 & 12 \\
\hline
D & 36 & 9 \\
\hline
E & 14 & 14 \\
\hline
\end{tabular}

- [tex]$\operatorname{leg} A$[/tex]
- [tex]$\operatorname{leg} B$[/tex]
- [tex]$\operatorname{leg} C$[/tex]
- [tex]$\operatorname{leg} D$[/tex]
- [tex]$\operatorname{leg} E$[/tex]

Sagot :

GinnyAnsweridn
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
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