If you are pumping water at 100 gallons per minute for one hour and then 50 gallons per minute afterward, how long will it take to add 10,000 gallons to a tank?

To determine how long it will take to add 10,000 gallons of water to a tank based on the given pumping rates, we can break the problem into two segments based on the given flow rates.

First, for the first hour, water is pumped at a rate of 100 gallons per minute. Therefore, in one hour (which is 60 minutes), the total volume of water pumped is calculated as follows:

100 gallons/minute × 60 minutes = 6,000 gallons.

After the first hour, the flow rate decreases to 50 gallons per minute. At this point, we have already pumped 6,000 gallons and need to find out how much additional water is required to reach a total of 10,000 gallons. This can be calculated as:

10,000 gallons - 6,000 gallons = 4,000 gallons remaining to be pumped.

Next, we calculate the time required to pump this remaining volume of water at the new rate of 50 gallons per minute:

4,000 gallons ÷ 50 gallons/minute = 80 minutes.

Now, we need to convert 80 minutes into hours and minutes. Since 80 minutes is equal to 1 hour and 20 minutes, we can add