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Answer:
Running time of Bailey's family sprinkler = x = 20 hrs
Running time of Howard's family sprinkler = y = 35 hrs
Step-by-step explanation:
We will make equations of time and flow of each family's sprinkler.
1. Time equation will be:
Let x is the time of Bailey's family sprinkler
Let y is the time of Howard Family Sprinker
Thus equation from the given information is both sprinklers ran for 55 hours.
(eq:1)
2. Flow of water equation will be derived from the fact that if we multiply the flow of one sprinkler with its time it will give the total flow of water
thus: Flow of Bailey's family sprinkler =
and Flow of Bailey's family sprinkler =
Total flow is given = 1625
Therefor adding the two equations will give total flow equation
(eq:2)
Now we have two equations and two variables x and y and we will use the substitution method to solve them.
Using equation one
Using value of x in second equation
Substituting value of x
Now putting the value of y in equation # 1
Thus the answers are:
Running time of Bailey's family sprinkler = x = 20 hrs
Running time of Howard's family sprinkler = y = 35 hrs