SOLUTION: The Scott family and the Bailey family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 25L per hour. The water output rate fo

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The Scott family and the Bailey family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 25L per hour. The water output rate fo      Log On


   

Question 1016322: The Scott family and the Bailey family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was
25L
per hour. The water output rate for the Bailey family's sprinkler was
20L
per hour. The families used their sprinklers for a combined total of
45
hours, resulting in a total water output of
975L
. How long was each sprinkler used
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates type problem for flow of water and quantity of water.
RT=V relates flow rate, time, volume of water. 
               rate         time       volume
Scott           25
Bailey          20
Totals                       45         975

Pick variables for time of water use for Scott and Bailey families. Try s and b. 
               rate         time       volume
Scott           25           s          25s
Bailey          20           b          20b
Totals                       45         975


Solve this system of equations:
system%28s%2Bb=45%2C25s%2B20b=975%29.