document.write( "Question 1011778: Aaron can paint a room in 45 minutes. Caroline can paint a room in 60 minutes. If they worked together, how long will it take them to finish painting 6 rooms together? \n" ); document.write( "

Algebra.Com's Answer #627531 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Aaron can paint a room in 45 minutes.
\n" ); document.write( " Caroline can paint a room in 60 minutes.
\n" ); document.write( " If they worked together, how long will it take them to finish painting 6 rooms together?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required when working together
\n" ); document.write( "let the completion of 1 room = 1
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F45\"$ + $\"t%2F60\"$ = 6
\n" ); document.write( "Multiply equation by 180
\n" ); document.write( "180* $\"t%2F45\"$ + 180* $\"t%2F60\"$ = 180*6
\n" ); document.write( "cancel the denominators
\n" ); document.write( "4t + 3t = 1080
\n" ); document.write( "t = 1080/7
\n" ); document.write( "t = 154.3 min or about 2 hrs 34.3 min \n" ); document.write( "

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