The capacity of a car\'s radiator is 8 liters. The radiator is full of a dirty,

Question

The capacity of a car's radiator is 8 liters. The radiator is full of a dirty, two-year-old 50/50 solution of antifreeze and water. The owner, deciding that it is time to replace the old antifreeze with new antifreeze, starts the car, removes the radiator cap and the drain plug, and inserts a garden hose into the radiator. The faucet is turned up just enough so that the radiator remains full, without overflowing, while the solution runs out at an estimated rate of 4 liters per minute. Since the engine is kept idling, the solution in the radiator is continually stirred. Find the minimum time that is needed to ensure that at least 99% of the old antifreeze is removed.

Explanation / Answer

initial concentration of anti freeze = 50%
if we add 4 litres of new antifreeze = new concentration will be 75%
if we again add another 4 litres it will be 87.5%,93.75,96.875,98.4375,99.31

so we need to keep it for 24 mins

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