SOLUTION: The Martinez family and the Thomas family each used their sprinklers last summer. The water output rate for the Martinez family's sprinkler was 15L per hour. The water output rate

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Question 621587: The Martinez family and the Thomas family each used their sprinklers last summer. The water output rate for the Martinez family's sprinkler was 15L per hour. The water output rate for the Thomas family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 40hours, resulting in a total water output of 1225L. How long was each sprinkler used?
Answer by Amit Kumar Singh STANME(1) About Me  (Show Source):
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let the water given by MARTINEZ be -x let the water given by Thomas be- y now time=water given/speed given that , x+y= 1225.......(1) According to question x/15+y/40=40 hr 8x+3y/120=40 therefore,8x+3y=4800 ................(2) solving equation 1 &2 we get x=245 & y = 980 putting these values in equation 2 we get martnez pump time =16.33hr and thomas family time is 24.5 hr