Problem page the bailey family and the harris family each used their sprinklers last summer. the water output rate for the bailey family's sprinkler was 15 l per hour. the water output rate for the harris family's sprinkler was 40 l per hour. the families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1325 . how long was each sprinkler used?

Bailey family's sprinkler was used for 35 hours and Harris family's sprinkler was used for 20 hours.

Step-by-step explanation:

 Set up a system of equations.

Let be "b" the time Bailey family's sprinkler was used and "h" the time Harris family's sprinkler was used.

Then:

You can use the Elimination method. Multiply the first equation by -15, then add both equations and solve for "h":

Substitute into an original equation and solve for "b":

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