Question

A backyard pool contains 500 gallons of water. It is filled with additional water at a rate of 6 gallons per minute. When will the amount of water double?

Options:
A. After 100 minutes
B. After 83 minutes
C. After 84 minutes
D. After 125 minutes

Answer 1

The amount of water in the backyard pool will double after approximately b. 83 minutes.

Step-by-step explanation:

To determine when the amount of water in the pool will double, we need to calculate how long it takes for the pool to have 1000 gallons of water. Starting with 500 gallons, the pool is filled at a rate of 6 gallons per minute.

Using the formula time = volume / rate, we can calculate the time it takes: time = (1000 - 500) / 6 = 500 / 6 = 83.33 minutes. Since we are looking for a whole number of minutes, the amount of water in the pool will double after approximately 83 minutes, so the correct option is B. After 83 minutes.