The number of minutes needed to drain a bathtub, m, varies inversely as the rate of draining, r. At 20 liters per minute, a bathtub can drain in 8 minutes. How many minutes would it take to drain the bathtub if the rate of drainage was 32 liters per minute?

5 minutes.

Step-by-step explanation:

We have been given that the number of minutes needed to drain a bathtub, m, varies inversely as the rate of draining, r.

We know that two inversely proportional quantities are in form , where y is inversely proportional with x and k is constant of proportionality.

Upon substituting our given variables in inversely proportion, we will get:

Let us find constant of proportionality using our given information.

So our required equation would be .

Now, we will substitute in our equation to solve for time.

Therefore, it will take 5 minutes to drain the bathtub at a rate of 32 liters per minute.

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step-by-step explanation: