Question

The Doe family is ready to fill their new swimming pool. It can be filled in 12 hours if they use their own water hose, and in 30 hours if they use Mr. Jones', their neighbor's water hose. How long will the Doe's take to fill their pool if the neighbor's hose is used along with their own?

a. 6* 1/2 hours
b. 8* 4/7 hours
c. 4* 2/7 hours

Answer 1

The Doe family will take 6 and 1/2 hours to fill their pool using both their own water hose and their neighbor's hose.

Step-by-step explanation:

To find the time it will take for the Doe family to fill their pool using both their own water hose and their neighbor's hose, we can use the concept of work rate. Let's assume that the Doe family's work rate is represented by x, and Mr. Jones' work rate is represented by y.

From the information given, we know that the time it takes the Doe family to fill the pool using their own hose (x) is 12 hours, and the time it takes using Mr. Jones' hose (y) is 30 hours.

Using the formula Work Rate = 1/Time, we can set up the following equation: 1/12x + 1/30y = 1/t, where t is the time it will take to fill the pool using both hoses. We can solve this equation to find the value of t.

By finding the least common multiple and solving for t, we get t = 6 * 1/2 hours.