Answer:
The volume required is
![V = 11.91 \ liters](https://img.qammunity.org/2021/formulas/physics/college/wuur6qmqsoaet0fdiomy9ldh0adx0eq7yk.png)
Step-by-step explanation:
From the question we are told that
The cars mileage is v = 28.0 mi/gal
The distance is d = 142 km
Converting the distance from km to miles
![d = 142 * 0.6214 = 88.24 \ miles](https://img.qammunity.org/2021/formulas/physics/college/gutcy3vqxz35pzm3kmgm8qp7ygomg7phze.png)
Generally the volume of gasoline needed is mathematically represented as
![V = (d)/( v)](https://img.qammunity.org/2021/formulas/physics/college/3sur113nrrb02lv0yt7q8aolcob3504mjr.png)
=>
![V = (88.24)/( 28.0 )](https://img.qammunity.org/2021/formulas/physics/college/9jtnn4lkiy17mbhlkresn1ubjy8lvrjs0q.png)
=>
![V = 3.151 \ gal](https://img.qammunity.org/2021/formulas/physics/college/hcjei921qwb8h5sshexr1n26xdrw606eoc.png)
Converting to Liters
=>
![V = 3.151 * 3.78](https://img.qammunity.org/2021/formulas/physics/college/h7pqengtvb8hfg4fhgx4b8ael89d9bki5f.png)
=>
![V = 11.91 \ liters](https://img.qammunity.org/2021/formulas/physics/college/wuur6qmqsoaet0fdiomy9ldh0adx0eq7yk.png)