Question

martinas inground swimming pool is finally finished, and all thats left to do is fill it with water. martinas family decides to fill their pool using their garden hose to save money, even though they know it will take a really long time. the swimming pool is 10 meters long and 5 meters wide, and martinas family wants the water to be 2 meters deep. water from the garden hose flows at a rate of 2,500 liters, or 2.5 cubic meters, per hour. how long will it take to fill the pool? hours

Explanation:

Step1: Calculate pool volume

The volume $V$ of a rectangular - prism (pool) is given by $V = l\times w\times h$, where $l = 10$ m, $w = 5$ m and $h = 2$ m. So $V=10\times5\times2 = 100$ m³.

Step2: Calculate filling time

The rate of water flow $r = 2.5$ m³/hour. Using the formula $t=\frac{V}{r}$, where $V$ is the volume of the pool and $r$ is the rate of water - flow. Substitute $V = 100$ m³ and $r = 2.5$ m³/hour into the formula: $t=\frac{100}{2.5}=40$ hours.

Answer:

40