The Campbell family and the Bryant family each used their sprinklers last summer. The Campbell family's sprinkler was used for 30hours. The Bryant family's sprinkler was used for 20 hours. There was a combined total output of 1550 L of water. What was thewater output rate for each sprinkler if the sum of the two rates was 60 L per hour??Campbell family's sprinkler: per hourBryant family's sprinkler: L per hour

The Campbell family and the Bryant family each used their sprinklers last summer The Campbell familys sprinkler was used for 30hours The Bryant familys sprinkle class=

Respuesta :

Solution

[tex]\begin{gathered} Campell\text{ = x l/hour} \\ Bryanrt\text{ = 60-x l/hour} \end{gathered}[/tex][tex]\begin{gathered} 30(x)+20(60-x)=1550 \\ 30x+1200-20x=1550 \\ 10x=1550-1200 \\ 10x=350 \\ divide\text{ both sides by 10} \\ x=35 \\ \end{gathered}[/tex]

Now

[tex]\begin{gathered} Campell=\text{ 35 L per hour} \\ \\ Bryant\text{ family=25 L per hour} \end{gathered}[/tex]