The equation for Drain A is 2t = 108, resulting in t = 54 minutes. Drain B's equation is 5t = 108, with t = 21 3/5 minutes.
Let's denote the time it takes to empty the pool as "t."
For Drain A, the equation can be written as:
2t = 108
This equation is derived from the rate formula: rate * time = amount. In this case, the rate is 2 gallons per minute (2 gal/min), and the amount is 108 gallons. Solving for "t," we divide both sides of the equation by 2:
t = 108/2 = 54
So, it takes 54 minutes for Drain A to empty the pool.
For Drain B, the equation is:
5t = 108
Similarly, the rate is 5 gallons per minute (5 gal/min). Solving for "t," we divide both sides by 5:
t = 108/5
This yields a fractional result, and it can be expressed as a mixed number: t = 21 3/5 minutes.
In summary, the equations for Drain A and Drain B are 2t = 108 and 5t = 108, respectively. The time it takes for Drain A to empty the pool is 54 minutes, while Drain B takes 21 3/5 minutes.