document.write( "Question 132283: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? \n" ); document.write( "

Algebra.Com's Answer #96630 by nycsharkman(136) $\"\"$ $\"About$

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If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?\r
\n" ); document.write( "\n" ); document.write( "Sally's time = 1/4\r
\n" ); document.write( "\n" ); document.write( "John's time = 1/6\r
\n" ); document.write( "\n" ); document.write( "together = 1/x\r
\n" ); document.write( "\n" ); document.write( "Solve for x.\r
\n" ); document.write( "\n" ); document.write( "1/4 + 1/6 = 1/x\r
\n" ); document.write( "\n" ); document.write( "5/12 = 1/x\r
\n" ); document.write( "\n" ); document.write( "Multiply both sides of the equation by the LCD, which is 12x\r
\n" ); document.write( "\n" ); document.write( "5/12 times 12x = 5x\r
\n" ); document.write( "\n" ); document.write( "1/x times 12x = 12\r
\n" ); document.write( "\n" ); document.write( "We now have a linear equation:\r
\n" ); document.write( "\n" ); document.write( "5x = 12\r
\n" ); document.write( "\n" ); document.write( "Divide both sides by 5 to find x.\r
\n" ); document.write( "\n" ); document.write( "x = 12/5\r
\n" ); document.write( "\n" ); document.write( "x = 2 hours and 40 minutes.\r
\n" ); document.write( "\n" ); document.write( "They should work together!\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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