The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of quantities, obtain a relation for the filling time in terms of the volume V of the tank (in L) and the discharge rate of gasoline (, in L/s).

Step 1 </p>

Given the gas tank of a car is filled with a nozzle that discharge gasoline at a constant flow rate.

We need to find out the relation for the filling time t in terms of the volume V (in L) and the discharge rate of gasoline v (in L/s).

Step 2</p>

The filling time depends on the volume of the tank and the discharge rate of gasoline.

We know that the unit of time is seconds therefore the independent quantities should be arranged such a way it end up with the unit of time.