document.write( "Question 450436: It takes Jon 75 minutes to paint a room. It takes Jeff 60 minutes and Jackie 80 minutes each to paint the same room. How long will the painting take if all three work together? \n" ); document.write( "

Algebra.Com's Answer #309813 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
It takes Jon 75 minutes to paint a room.
\n" ); document.write( " It takes Jeff 60 minutes and Jackie 80 minutes each to paint the same room.
\n" ); document.write( " How long will the painting take if all three work together?
\n" ); document.write( ":
\n" ); document.write( "Let t = time required when all work together
\n" ); document.write( "Let the completed job = 1
\n" ); document.write( ":
\n" ); document.write( "A typical shared work equation
\n" ); document.write( ":
\n" ); document.write( " $\"t%2F75+%2B+t%2F60+%2B+t%2F80\"$ = 1
\n" ); document.write( ":
\n" ); document.write( "multiply by 1200 to clear the denominators, results:
\n" ); document.write( "16t + 20t + 15t = 1200
\n" ); document.write( "51t = 1200
\n" ); document.write( "t = $\"1200%2F51\"$
\n" ); document.write( "t = 23.53 min all working together \n" ); document.write( "

\n" );