SOLUTION: The Scott family and the Parker family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 25 L per hour. The water output rate for t

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Question 1113365: The Scott family and the Parker family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 25 L per hour. The water output rate for the Parker family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 40 hours, resulting in a total water output of 1375 L. How long was each sprinkler used?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x Sprinker in scotts family, hours hours 40
y sprinker in Parkers family,hours liters 1375
Equation for total investors

1 x + 1 y = 40 .............1

Equation for amount raised
25 x + 40 y = 1375 .............2
Eliminate y
multiply (1)by -40
Multiply (2) by 1
-40 x -40 y = -1600
25 40 y = 1375
Add the two equations
-15 x = -225
/ -15
x = 15
plug value of x in (1)
1 x + 1 y = 40
15 + 1 y = 40
1 y = 25
y= 25

15 hours Sprinker in scotts family
25 hours sprinker in Parkers family

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
FAMILY        RATE         TIME       VOLUME
Scott         25           40-t       25(40-t)
Parker        40            t         40t
Total                      40          1375


25%2840-t%29%2B40t=1375
-
5%2840-t%29%2B8t=275
200-5t%2B8t=275
3t=75
highlight%28t=25%29------hours, the Parker family
-
highlight%2815%29-------hours, the Scott family