SOLUTION: ONE BOTTLING MACHINE CAN FILL 400 BOTTLES OF WATER IN 1 HOUR AND ANOTHER MACHINE CAN FILL 400 BOTTLES OF WATER IN 1.5 HOURS. IF BOTH MACHINES ARE WORKING, HOW MUCH TIME DOES IT TA

Algebra ->  Rate-of-work-word-problems -> SOLUTION: ONE BOTTLING MACHINE CAN FILL 400 BOTTLES OF WATER IN 1 HOUR AND ANOTHER MACHINE CAN FILL 400 BOTTLES OF WATER IN 1.5 HOURS. IF BOTH MACHINES ARE WORKING, HOW MUCH TIME DOES IT TA      Log On


   

Question 653705: ONE BOTTLING MACHINE CAN FILL 400 BOTTLES OF WATER IN 1 HOUR AND ANOTHER MACHINE CAN FILL 400 BOTTLES OF WATER IN 1.5 HOURS. IF BOTH MACHINES ARE WORKING, HOW MUCH TIME DOES IT TAKE TO FILL 400 BOTTLES OF WATER?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of filling to get the rate
for them filling together
Since you are only dealing with 400 bottles
call that 1 job
( 1 job / 1 hr ) + ( 1 job ) / ( 1.5 hr ) = 1 job / x hrs
+1%2F1+%2B+1%2F1.5+=+1%2Fx+
Multiply both sides by +1.5x+
+1.5x+%2B+x+=+1.5+
+2.5x+=+1.5+
+x+=+15%2F25+
+x+=+3%2F5+
+%283%2F5%29%2A60+=+36+
With both machines working it takes 36 minutes to fill 400 bottles