Question

The Rodriguez family and the Hill family each used their sprinklers last summer. The water output rate for the Rodriguez family's sprinkler was per hour. The water output rate for the Hill family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used?

Answer 1

Answer:

x = 23.33 hr    Rodriguez sprinkler

y  = 26.66 hr   Hill sprinkler

Step-by-step explanation: INCOMPLETE QUESTION

Requiered information:

the water output rate for both sprinkler families

We assume : Rodriguez family   40 lts/hr

                      Hill family   35 lts/ hr

Total water output  1900 lts

and total combined hours working is 50 hr

Let call  "x"  time in hours sprinkler of Rodriguez family worked

and "y" time in hours sprinkler of  Hill  family worked

Then if total output was 1900 lts

40*x  +  35*y  = 1900    and   x  +  y  =  50

We have a two equation system, solving

y  =  50 - x     ⇒     40*x  +  35 * ( 50 - x )

40x  =  1750 -  35x

75 x  =  1750        ⇒    x  = 1750/75          ⇒    x = 23.33 hr

and   y  =  50  -  23.33     ⇒   y  =  26.66 hr