A swimming pool is 60 feet long and 25 feet wide. Its depth varies uniformly from
3 feet at the shallow end to 15 feet at the deep end.
Suppose the pool has been emptied and is now being filled with water at a rate of 800 cubic feet per minute. At what rate is the depth of water (measured at the deepest point of the pool) increasing when it is 5 feet deep at that end? Over time, describe how the depth of the water will increase: at an increasing rate, at a decreasing rate, or at a constant rate. Explain.