document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #408475 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of filling to get the rate
\n" ); document.write( "for them filling together
\n" ); document.write( "Since you are only dealing with 400 bottles
\n" ); document.write( "call that 1 job
\n" ); document.write( "( 1 job / 1 hr ) + ( 1 job ) / ( 1.5 hr ) = 1 job / x hrs
\n" ); document.write( " $\"+1%2F1+%2B+1%2F1.5+=+1%2Fx+\"$
\n" ); document.write( "Multiply both sides by $\"+1.5x+\"$
\n" ); document.write( " $\"+1.5x+%2B+x+=+1.5+\"$
\n" ); document.write( " $\"+2.5x+=+1.5+\"$
\n" ); document.write( " $\"+x+=+15%2F25+\"$
\n" ); document.write( " $\"+x+=+3%2F5+\"$
\n" ); document.write( " $\"+%283%2F5%29%2A60+=+36+\"$
\n" ); document.write( "With both machines working it takes 36 minutes to fill 400 bottles
\n" ); document.write( " \n" ); document.write( "

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