document.write( "Question 945637: Paul can paint a room two times as fast a Jamie. Working together they can paint the room in three hours. How long would it take each of them to paint the room alone? \n" ); document.write( "

Algebra.Com's Answer #576813 by TimothyLamb(4379) $\"\"$ $\"About$

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x = paul's hours to paint the room alone
\n" ); document.write( "y = jamie's hours to paint the room alone
\n" ); document.write( "---
\n" ); document.write( "x = 2y
\n" ); document.write( "---
\n" ); document.write( "rate:
\n" ); document.write( "r = w/t
\n" ); document.write( "---
\n" ); document.write( "rates are additive:
\n" ); document.write( "1/x + 1/y = 1/3
\n" ); document.write( "x = 2y
\n" ); document.write( "1/(2y) + 1/y = 1/3
\n" ); document.write( "1/(2y) + 2/(2y) = 1/3
\n" ); document.write( "3/(2y) = 1/3
\n" ); document.write( "(2y) = 3*3
\n" ); document.write( "y = 3*3/2
\n" ); document.write( "y = 4.5
\n" ); document.write( "x = 2y
\n" ); document.write( "x = 9
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = 9
\n" ); document.write( "y = 4.5
\n" ); document.write( "---
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