How long was each sprinkler used? the water output rate for the rodriguez family's sprinkler was 15l per hour. the water output rate for the perry family's sprinkler was 20 l per hour. he families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 900 l.

Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

Step-by-step explanation:

Let "x" be the number of hours Rodriguez family's sprinkler used and "y" be the number of hours Perry family's sprinkler used.

Now let's form two equations using the given information.

x + y = 55  (1)

Using the output, we can form another equation.

15x + 20y = 900  (2)

Now we have to solve these two equations to find the number of hours each sprinkler used.

We can use substitution method to solve these two equations.

From the equation (1), we can write

x = 55 - y

Now plug in x = 55 - y in the equation (2), we get

15(55 - y) + 20y = 900

Using the distributive property a(b -c) = ab - ac, we get

15(55) - 15y + 20 y = 900

825 - 15y + 20y = 900

Simplifying the above equation, we get

5y = 900 - 825

5y = 75

Dividing both sides by 5, we get

y = 15

Now plug y = 15 in x = 55 - y to find the value of x.

x = 55 - 15

x = 40

So, Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

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step-by-step explanation: