Question

A pool holds 8.1 × 10⁹ liters of water. The pool is being filled by a hose at rate of 3×10⁷ liters per hour. How many hours will it take to fill the pool?

Answer 1

We are given that the rate of volume per time is 3×10⁷liters per hour and that we need to fill a volume of 8.1 × 10⁹ liters, we are asked how many hours will it take to fill the given volume. To do that, we need to remember the formula for the rate of change of volume with time, that is:

`Q=(V)/(t)`

Where Q is the rate of change of the volume. Solving for time "t", we get:

`t=(V)/(Q)`

Replacing the known values we get:

`t=(8.1*10^9L)/(3*10^7(L)/(h))`

Solving the operation, we get:

`t=270h`