Mathwright Interactive Explorations
 

 

Lakes: All in One

by Ravinder Kumar

You might like to press F11 to view the Microworld in Full Screen mode.

Lakes Book Description:

There are three lakes: L. Audrey, L. Bob, and L. Cecil. Inflow pattern for the three lakes is best described by an accompanying picture: Scientists estimate that there are currently 12000 kg of pollutants in L. Audrey, 5000 kg in L. Bob, and 20000 kg in L. Cecil. The percentage of water replaced each year in the three lakes is respectively 30%, 25%, and 16%. Under an agreement with environmentalists, it is agreed that no new pollutants will be dumped into the lakes. The task is given to engineers to figure out how many years it will talke top completely clean L. Cecil. The Army Corps of Engineers comes up with an idea. The inflow into L. Bob is diverted into L. Audrey. The total outflow from Lake Audrey is then routed to Lake Bob through a canal that Army Corps of Engineers construct. Lake Bob then empties into Lake Cecil. As a result of this rerouting 62.5% of Lake Audrey and 50% of Lake Bob is replaced every year. Rate of discharge from Lake cecil remains the same 16%. This Microworld constructs an interactive model where the amounts of pollutants and the rates at which the water is replaced can be changed. Obviously, such an interactive model will be quite useful for solving a variety of similar problems.