document.write( "Question 393275: If sally can paint a house in 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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\n" ); document.write( "\n" ); document.write( "I need step by step please i have been out of high school for 5 years and am trying to get into college. thanks \n" ); document.write( "
Algebra.Com's Answer #279129 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If sally can paint a house in 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?
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\n" ); document.write( "Sally DATA:
\n" ); document.write( "time = 4 hrs/job ; rate = 1/4 job/hr
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\n" ); document.write( "John DATA:
\n" ); document.write( "time = 6 hrs/job ; rate = 1/6 job/hr
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\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr
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\n" ); document.write( "Equation to solve for \"x\":
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/4 + 1/6 = 1/x
\n" ); document.write( "Multiply thru by 12x to get:
\n" ); document.write( "3x + 2x = 12
\n" ); document.write( "5x = 12
\n" ); document.write( "x = 12/5 = 2.8 hrs (time to do the job when they work together)
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\n" ); document.write( "Note: 2.8 hrs = 2 hr + 0.8*60min = 2hr+48 minutes
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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