How long was each sprinkler used is 30 hours.
How long was each sprinkler used
Let x represent how long each sprinkler was used
Hence:
40(x)+15(55-x)=1575
40x+825-15x=1575
Collect like terms
40x+-15x=1575-825
25x=750
Divide both side by 25x
x=750/25
x=30 hours
Therefore the Jenkins used the sprinklers for 30 hours while Green's used it for 25.
The complete question is:
The Jenkins family and the Moore family each used their sprinklers last summer. The water output rate for the Jenkins family's sprinkler was 40l per hour. The water output rate for the Moore family's sprinkler was per 15l hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output 1575 of . How long was each sprinkler used?
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