An in-ground swimming pool may have a leak. The 30-ft by 10-ft by 5-ft (depth) pool is filled on June 1. On June 13, a hose, flowing at a rate of 10 gallons per minute, is used to add water to the pool. The hose is turned off after 1 hour. Four inches of rain fell during the month.
Evaporation from a nearby lake was 8 in. during June. It is estimated that 25 percent more will evaporate from the pool than the lake. On July 1, the pool is 5 inches below the top. Does the pool have a leak? If so, what is the rate of leakage in gallons per day?