document.write( "Question 110491: Nancy can paint a house twice as fast as Terry can. They year they worked together it took them 7 days. How long would it take each to paint the house alone? \n" ); document.write( "

Algebra.Com's Answer #80520 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
N = nancy's time working alone
\n" ); document.write( "T = Terry's time working alone
\n" ); document.write( " $\"%281%2FN%29+%2B+%281%2FT%29+=+1%2F7\"$
\n" ); document.write( " $\"N+=+2T\"$
\n" ); document.write( " $\"%281%2F%282T%29%29+%2B+%281%2FT%29+=+1%2F7\"$
\n" ); document.write( "multiply both sides by $\"%282T%29%28T%29%2A7\"$
\n" ); document.write( " $\"7T+%2B+14T+=+2T%5E2\"$
\n" ); document.write( " $\"2T%5E2+-+21T+=+0\"$
\n" ); document.write( " $\"T%282T+-+21%29+=+0\"$
\n" ); document.write( "T = 0 is a solution, but disregard it
\n" ); document.write( " $\"2T+=+21\"$
\n" ); document.write( " $\"T+=+10.5\"$ days Terry's time working alone
\n" ); document.write( " $\"N+=+2T\"$
\n" ); document.write( " $\"N+=+21\"$ days Nancy's time working alone
\n" ); document.write( "check
\n" ); document.write( " $\"%281%2FN%29+%2B+%281%2FT%29+=+1%2F7\"$
\n" ); document.write( " $\"%281%2F21%29+%2B+%281%2F10.5%29+=+1%2F7\"$
\n" ); document.write( " $\"%281%2F21%29+%2B+%282%2F21%29+=+3%2F21\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );