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Industrial waste is being dumped into Lake A, causing pollution of the water. The pollution concentration...

Industrial waste is being dumped into Lake A, causing pollution of the water. The pollution concentration of Lake A is maintained at a constant level of c kg/km3 . Lake B has volume V km3 and its rate of inflow (from Lake A) and rate of outflow (to River C) are both equal to r km3 per year. Suppose that at time t = 0 (in years) the pollutant concentration of Lake B (caused by past industrial pollution that has now come to an end) is ten times that of Lake A (which continues to be polluted). How long will it take to reduce the pollution concentration in Lake B to twice that of Lake A?

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