document.write( "Question 1052073: Andrew can paint the neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 6 days. How long would it take each to paint the house? \n" ); document.write( "
Algebra.Com's Answer #667488 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Andrew can paint the neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked together, it took them 6 days. How long would it take each to paint the house? \n" ); document.write( "------ \n" ); document.write( "Andrew DATA:: time = 5x ; rate = 1/(5x) \n" ); document.write( "Bailey DATA:: time = x ; rate = 1/x \n" ); document.write( "Together DATA: time 6 ; rate = 1/6 \n" ); document.write( "---------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/(5x) + 1/x = 1/6 \n" ); document.write( "---------------------- \n" ); document.write( "6 + 30 = 5x \n" ); document.write( "----- \n" ); document.write( "5x = 36 days (Bailey time to do the job) \n" ); document.write( "x = 7.2 days (Andrew's time to do the job) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |