A car manufacturer usually tells a optim...

A car manufacturer usually tells a optimum speed `(V_(0))` at which the car should be driven to get maximum mileage. In order to find the optimum speed for a new model, an engineer of the car company experimented a lot and finally plotted a graph between the extreme time t (defined as number of hours a tank full of petrol lasts) vs the constant speed V at which car was run.

(a) Calculate the optimum speed V0 for this new model.
(b) If the fuel tank capacity of this car is 50 litre, what maximum mileage can be obtained from this car?

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