document.write( "Question 249668: If Sally can paint a house in a 4 hours, and John can paint the same house in 6 hours, How long will it take for both of them to paint the house together? \n" ); document.write( "

Algebra.Com's Answer #181806 by Edwin McCravy(20055) $\"\"$ $\"About$

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if one painter can paint a house in 6 hours, and another painter paints a house in 9 hours. How long will it take them to paint the house working together\r
\n" ); document.write( "\n" ); document.write( "If Sally can paint a house in a 4 hours, and John can paint the same house in 6 hours, How long will it take for both of them to paint the house together?\r
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document.write( "Let x = the number of hours working together (what is asked for)\r\n" );
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document.write( "Make this chart:\r\n" );
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document.write( "                  No. of Houses      Rate        Time\r\n" );
document.write( "Sally\r\n" );
document.write( "John\r\n" );
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document.write( "both together\r\n" );
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document.write( "Fill in x for the time for both together to paint 1 house:\r\n" );
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document.write( "                  No. of Houses      Rate        Time\r\n" );
document.write( "Sally\r\n" );
document.write( "John\r\n" );
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document.write( "both together        1                            x\r\n" );
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\n" ); document.write( ">>...Sally can paint a house in 4 hours...<<
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document.write( "So fill in 1 house and 4 hours for the Sally,\r\n" );
document.write( "her no. of houses and her number of hours, respectively.\r\n" );
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document.write( "                  No. of Houses      Rate        Time\r\n" );
document.write( "Sally                1                            4\r\n" );
document.write( "John         \r\n" );
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document.write( "both together         1                           x\r\n" );
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\n" ); document.write( ">>...John can paint the same house in 6 hours...<<
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document.write( "So fill in 1 house and 9 hours for John,\r\n" );
document.write( "his no. of houses and his number of hours, respectively.\r\n" );
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document.write( "                  No. of Houses      Rate        Time\r\n" );
document.write( "Sally                 1                           4\r\n" );
document.write( "John                  1                           6\r\n" );
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document.write( "both together         1                           x\r\n" );
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document.write( "Now fill in all three rates using the formula\r\n" );
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document.write( "                  No. of Houses      Rate        Time\r\n" );
document.write( "Sally                 1              1/4          4\r\n" );
document.write( "John                  1              1/6          6\r\n" );
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document.write( "both together         1              1/x          x\r\n" );
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document.write( "Now form the equation by using the fact that\r\n" );
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document.write( "Sally's rate + John's rate = their rate together\r\n" );
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document.write( "Can you get a LCD of 12x and solve that equation for x?\r\n" );
document.write( "If not post again asking how to.\r\n" );
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document.write( "Answer:   hours or  hours or  hours or  \r\n" );
document.write( "          hours and  minutes. \r\n" );
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document.write( "Edwin

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