document.write( "Question 955974: Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 7 days. How long would it take each to paint the house? \n" ); document.write( "

Algebra.Com's Answer #584002 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 7 days. How long would it take each to paint the house?
\n" ); document.write( "***
\n" ); document.write( "let x=number of days A can finish painting the house by himself
\n" ); document.write( "his work rate=1/x
\n" ); document.write( "5x=number of days B can finish painting the house by himself
\n" ); document.write( "his work rate=1/5x
\n" ); document.write( "7=number of days both A and B working together can finish painting
\n" ); document.write( "Their work rate=1/7
\n" ); document.write( "..
\n" ); document.write( "sum of indv. work rates=work rate working together
\n" ); document.write( " $\"1%2Fx%2B1%2F5x=1%2F7\"$
\n" ); document.write( "lcd:5x
\n" ); document.write( "5+1=5x/7
\n" ); document.write( "5x=42
\n" ); document.write( "x=42/5=8.4
\n" ); document.write( "5x=42
\n" ); document.write( "number of days A can finish painting the house by himself=8.4
\n" ); document.write( "number of days B can finish painting the house by himself=42 \n" ); document.write( "

\n" );