The water output rate for each sprinkler is 40 L per hour and 30 L per hour.
Number of hours sprinklers used by Hughes family = 35 hours
Number of hours sprinklers used by Scott family = 20 hours.
combined total output of water = 2000L
The sum of the two rates was = 70 L per hour
Let the water output rate for Hughes family be x
For Scott family = 70 - x
So, we get the equation as:
35 x + 20 ( 70 - x ) = 2000
35 x + 1400 - 20 x = 2000
15 x = 600
x = 600 / 15
x = 40
For Hughes family = 40 L / hour
For Scott family = 30 L / hour
Therefore, we get that, the water output rate for each sprinkler is 40 L per hour and 30 L per hour.
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