To calculate the time it takes to completely deflate a balloon using the constant rate of deflation, you can set up a proportion as follows:
Let's say that the balloon has an initial volume of V0 and is deflating at a constant rate of r (in units of volume per unit time, e.g., cubic centimeters per second). Let's also say that it takes time t to completely deflate the balloon.
Then, we can set up the proportion:
V0 : 0 = t : T
where T is the total time it takes for the balloon to completely deflate, and the ratio V0/0 represents the initial volume of the balloon to its final volume (which is zero).
We can simplify this proportion to:
V0/T = r/0
Since the final volume is zero, we can simplify further to:
V0/T = r
To solve for T, we can cross-multiply:
V0 = rT
And then solve for T:
T = V0/r
Therefore, the time it takes to completely deflate the balloon is given by the ratio of its initial volume to the constant rate of deflation.
Note that this formula assumes that the rate of deflation is constant and that there are no other factors affecting the deflation rate, such as changes in pressure or temperature.