document.write( "Question 339793: you paint 2 square yards in 3 hours and your friend paints 4 square yards in 5 hours. how long does it take you and your friend to paint 11 square yards \n" ); document.write( "
Algebra.Com's Answer #243445 by stanbon(75887) ![]() You can put this solution on YOUR website! you paint 2 square yards in 3 hours \n" ); document.write( "Your DATA: \n" ); document.write( "rate = (3/2) yd/hr \n" ); document.write( "---------------- \n" ); document.write( "your friend paints 4 square yards in 5 hours. \n" ); document.write( "Friend DATA: \n" ); document.write( "rate = (4/5) yd/hr \n" ); document.write( "---------------- \n" ); document.write( "Together DATA: \n" ); document.write( "rate = 1/x yd/hr. \n" ); document.write( "========================== \n" ); document.write( "how long does it take you and your friend to paint 11 square yards \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "3/2 + 4/5 = 1/x \n" ); document.write( "15x + 8x = 10 \n" ); document.write( "23x = 10 \n" ); document.write( "x = 10/23 hr. to paint 1 sq yd together \n" ); document.write( "--- \n" ); document.write( "11x = 110/23 = 4.78 hrs to paint 11 sq. yds \n" ); document.write( "4.78 hr. = 4hr and 47 minutes \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "stan H. \n" ); document.write( " \n" ); document.write( " |