Scenario #2: An older hose can fill a pool in 8 hours, and a newer hose can fill the same pool in 6 hours. If the pool drain was left open accidentally, but the pool still filled up in 12 hours with both hoses running, how lon would it take for the drain to empty a full pool on its own?

Question

b. Identify the correct strategy to solve the problem:

Answer 1

To solve this problem, the correct strategy is to first determine the combined rate at which the older and newer hoses fill the pool when running together for 12 hours. Then, use this combined rate to calculate how long it would take for the drain to empty a full pool on its own. This can be done by setting up a proportion using the combined rate of filling the pool in 12 hours and the rate at which the pool would be drained.