What's up guys. Is there anyone who can challenge to solve this theoretical problem that can help to solve my house problem? There's an empty outdoor swimming pool that has width a, length b, and depth c, such as its volume = abc. The temperature of outside is -3 C° and we are trying to fill the pool with water poured out from two hoses. Each hose pours water with rate 500mL/sec. Our goal is to fulfill the swimming pool with water temperature 35C°. What should be the temperature of the water from the hoses so that the pool can maintain its 35 C°, if we pour the water for 1 hr? 5 hrs? 10 hrs? 24 hrs? You can ignore the water exceeding volume of the pool as it just flows out anyways. I know that Q=McT, this formula is very useful but I just do not know where to start. Any help from physics geeks? Peace!