Question 1168137
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Let x = the water output rate for the Taylor's family sprinkler, in liters per hour.


Then the water output rate for the Long's family sprinkler is (55-x).


The combined total output equation is


    30x + 20*(55-x) = 1450 liters


From the equation,


    x = {{{(1450-20*55)/(30-20)}}} = 35 liters per hour.


<U>ANSWER</U>.  Taylor's family sprinkler output rate is 35 L/hour.

         Long's family sprinkler output rate is 55-35 = 20 L/hour.
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Solved.