document.write( "Question 126952: 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? I'm not sure if this is the section for this problem but if tutor can help i would greatly be appretiated,thanks \n" ); document.write( "

Algebra.Com's Answer #92981 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working to get the final rate
\n" ); document.write( "In words:
\n" ); document.write( "(1 house) / (Sally's time) + (1 house) / (John's time)
\n" ); document.write( " = (1 house)/(unknown time)
\n" ); document.write( " $\"%281+%2F+4%29+%2B+%281+%2F+6%29+=+1+%2F+x\"$
\n" ); document.write( "multiply both sides by 12
\n" ); document.write( " $\"3+%2B+2+=+12%2Fx\"$
\n" ); document.write( "multiply both sides by $\"x\"$
\n" ); document.write( " $\"5x+=+12\"$
\n" ); document.write( " $\"x+=+2.4\"$
\n" ); document.write( "Together they can paint the house in 2.4 hours \n" ); document.write( "

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