document.write( "Question 906517: It takes Ralph 5 hours to paint a fence alone. Lisa can do the same job in 10 hours. If Ralph paints alone for 45 minutes before Lisa begins helping, how long must they work together to finish painting the fence? Give your answer as a simplified fraction. \n" ); document.write( "
Algebra.Com's Answer #549916 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! c/a+ x/a+x/b=1 \n" ); document.write( "(45/60)*1/5+ x/5+x/10=1 \n" ); document.write( "0.75*1/5+x/5+x/10=1 \n" ); document.write( "x/5+x/10=1-0.75/5 \n" ); document.write( "x/5+x/10=0.85 \n" ); document.write( "x/5+x/10=4.25/5 \n" ); document.write( "10x/50+5x/50=42.5/50 \n" ); document.write( "15x/50=42.5/50 \n" ); document.write( "15x=42.5 \n" ); document.write( "x=42.5/15 \n" ); document.write( "x=2.83333333 hrs= 2 hr 50 min. \n" ); document.write( "Thanks to Edwin for pointing out my previous silly mistake.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |