A company has a tank that is already filled at a maximum capacity of 350,000 gallons of water. One day the tank starts losing 32,000 gallons/hour for 5 hours, after that time the company repaired the tank but it wasn't enough because the tank was still losing 10,000 gallons/hour. It stayed like that for 10 hours. In the second attempt, they managed to repair the tank and started filling it with 40,000 gallons/hour. After 3 hours, how many gallons are missing for the tank to be at maximum capacity again?
Thoughts? Step-by-step reasoning:
In the first 5 hours the tank losses 32000 gallons / hour x 5 hours = 160000 gallons. In the next 10 hours the tank losses 10,000 gallons / hour x 10 hours = 100000 gallons. The total amount of water loss so far is 100000 + 160000 = 260000 gallons. The total amount of water remaining in the tank is 350000 - 260000 = 90000 gallons. Once repaired, after 3 hours, the tank gains 40000 gallons / hour x 3 hours = 120000 gallons. The total amount of water in the tank after the tank is filled for 3 hours is 120000 + 90000 = 210000 gallons. The amount of water missing in the tank for it to be full is 350000 - 210000 = 140000 gallons.
Thus, the answer is 140000.