Question

Force and Work Unit Test
8 of 128 of 12 Items














Question
In which situation did the car achieve the greatest efficiency? (Assume the cars all have the same mass.)(1 point)
Responses

a car that traveled 80 kilometers on 5.0 liters of gas
a car that traveled 80 kilometers on 5.0 liters of gas

a car that traveled 50 kilometers on 4.0 liters of gas
a car that traveled 50 kilometers on 4.0 liters of gas

a car that traveled 70 kilometers on 5.0 liters of gas
a car that traveled 70 kilometers on 5.0 liters of gas

a car that traveled 90 kilometers on 6.0 liters of gas

Answer 1

To determine which car achieved the greatest efficiency, we need to calculate the fuel efficiency of each car in kilometers per liter (km/L).

1. **Car 1**:
- Traveled 80 kilometers on 5.0 liters of gas.
- Efficiency = \( \frac{80 \, \text{km}}{5.0 \, \text{L}} = 16 \, \text{km/L} \)

2. **Car 2**:
- Traveled 50 kilometers on 4.0 liters of gas.
- Efficiency = \( \frac{50 \, \text{km}}{4.0 \, \text{L}} = 12.5 \, \text{km/L} \)

3. **Car 3**:
- Traveled 70 kilometers on 5.0 liters of gas.
- Efficiency = \( \frac{70 \, \text{km}}{5.0 \, \text{L}} = 14 \, \text{km/L} \)

4. **Car 4**:
- Traveled 90 kilometers on 6.0 liters of gas.
- Efficiency = \( \frac{90 \, \text{km}}{6.0 \, \text{L}} = 15 \, \text{km/L} \)

Now we can compare the efficiency of each car:

- Car 1: 16 km/L
- Car 2: 12.5 km/L
- Car 3: 14 km/L
- Car 4: 15 km/L

The car that achieved the greatest efficiency is **Car 1**, which traveled 80 kilometers on 5.0 liters of gas with an efficiency of **16 km/L**.