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).

Solution

Step 1

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).