document.write( "Question 246540: Solve: The Officejet printer can copy Lisa's dissertation in 22 min. The LaserJet printer can copy the same document in 16min. If the two machines work together, how long would they take to copy the dissertation? \n" ); document.write( "
Algebra.Com's Answer #179997 by ptaylor(2198)\"\" \"About 
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Let x=amount of time it takes if both machines are working together
\n" ); document.write( "Then together the machines copy at the rate of 1/x of the dissertation per min
\n" ); document.write( "Officejet copies at the rate of 1/22 of the dissertation per min
\n" ); document.write( "Laserjet copies at the rate of 1/16 dissertation per min
\n" ); document.write( "Together they copy at the rate of 1/22 + 1/16 of the dissertation per min
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "1/22 + 1/16=1/x multiply each term by 176x\r
\n" ); document.write( "\n" ); document.write( "8x+11x=176
\n" ); document.write( "19x=176 or
\n" ); document.write( "x=176/19 or 9.263 minutes------------------time needed if both machines work together\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In (176/19) min, the officejet copies (1/22)(176/19) =8/19 of the dissertation
\n" ); document.write( "In (176/19) min, the laserjet copies (1/16)(176/19) =11/19 of the dissertaion
\n" ); document.write( "8/19 + 11/19=19/19 or 1 dissertation\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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