To determine which car achieved the greatest efficiency, we need to calculate the fuel efficiency (kilometers per liter) for each of the given situations. The formula for fuel efficiency is:
\[ \text{Fuel Efficiency} = \frac{\text{Distance (km)}}{\text{Fuel Used (liters)}} \]
Now let's calculate the fuel efficiency for each car:
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Car that traveled 80 kilometers on 5.0 liters of gas: \[ \text{Efficiency} = \frac{80 \text{ km}}{5.0 \text{ liters}} = 16 \text{ km/l} \]
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Car that traveled 50 kilometers on 4.0 liters of gas: \[ \text{Efficiency} = \frac{50 \text{ km}}{4.0 \text{ liters}} = 12.5 \text{ km/l} \]
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Car that traveled 90 kilometers on 6.0 liters of gas: \[ \text{Efficiency} = \frac{90 \text{ km}}{6.0 \text{ liters}} = 15 \text{ km/l} \]
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Car that traveled 70 kilometers on 5.0 liters of gas: \[ \text{Efficiency} = \frac{70 \text{ km}}{5.0 \text{ liters}} = 14 \text{ km/l} \]
Now, let's compare the fuel efficiencies:
- Car 1: 16 km/l
- Car 2: 12.5 km/l
- Car 3: 15 km/l
- Car 4: 14 km/l
The car that traveled 80 kilometers on 5.0 liters of gas achieved the greatest efficiency of 16 km/l.