document.write( "Question 907240: It takes Ralph 12 hours to paint a fence alone. Lisa can do the same job in 16 hours. If Ralph paints alone for 15 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 #550356 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! c/a+ x/a+x/b=1 \n" ); document.write( "(15/60)*1/12+ x/12+x/16=1 \n" ); document.write( "0.25*1/12+x/12+x/16=1 \n" ); document.write( "x/12+x/16=1-0.25/12 \n" ); document.write( "x/12+x/16=0.97916667 \n" ); document.write( "x/12+x/16=11.75/12 \n" ); document.write( "16x/192+12x/192=188/192 \n" ); document.write( "28x/192=188/192 \n" ); document.write( "28x=188 \n" ); document.write( "x=188/28 \n" ); document.write( "x=47/7 this is the simplified fraction\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |