document.write( "Question 74314: If Susie can paint a house in 4 hrs and David can paint a house in 6 hrs. How long will it take them to paint it together? One answer that was given was 2hr and 24 min, but I'm not sure how they got it. \n" ); document.write( "
Algebra.Com's Answer #53309 by funmath(2933)\"\" \"About 
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If Susie can paint a house in 4 hrs and David can paint a house in 6 hrs. How long will it take them to paint it together?
\n" ); document.write( "This is the way I was taught this, but I know there is another way to do this:\r
\n" ); document.write( "\n" ); document.write( "Susie can paint 1 house in 4 hrs, her work rate is:1/4
\n" ); document.write( "David caan paint 1 house in 6 hrs, his work rate is: 1/6
\n" ); document.write( "They both can paint 1 house in x hrs, their combined work rate is:1/x
\n" ); document.write( ":
\n" ); document.write( "Problem to solve:
\n" ); document.write( "\"1%2F4%2B1%2F6=1%2Fx\"
\n" ); document.write( "\"%283%2F3%29%281%2F4%29%2B%282%2F2%29%281%2F6%29=1%2Fx\"
\n" ); document.write( "\"3%2F12%2B2%2F12=1%2Fx\"
\n" ); document.write( "\"5%2F12=1%2Fx\" Cross multiply, or flip both sides over and you have:
\n" ); document.write( "\"5x=12\"
\n" ); document.write( "\"5x%2F5=12%2F5\"
\n" ); document.write( "\"x=12%2F5\"
\n" ); document.write( "x=12/5 hrs.
\n" ); document.write( "x=2 and 2/5 hrs there are 60 minutes in an hour
\n" ); document.write( "x=2 hrs and (2/5)(60)min
\n" ); document.write( "x=2 hrs and 24 mins.
\n" ); document.write( "Happy Calculating!!!!
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