document.write( "Question 469852: Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8 hours. Which equation, when solved, will produce the number of hours needed for Pat to paint the house alone? \r
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #322299 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Fred can paint a house in 10 hours. Together, Pat and Fred can paint the house in 8 hours. Which equation, when solved, will produce the number of hours needed for Pat to paint the house alone? \r \n" ); document.write( "\n" ); document.write( "----- \n" ); document.write( "Fred time = 10 hr/job ; rate = 1/10 job/hr. \n" ); document.write( "--- \n" ); document.write( "Together time = 8 hrs/job ; rate = 1/8 job/hr \n" ); document.write( "---- \n" ); document.write( "Pat time = x hr/job ; rate = 1/x job/hr \n" ); document.write( "============================= \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/10 + 1/x = 1/8 \n" ); document.write( "--- \n" ); document.write( "or you might use \n" ); document.write( "8x + 80 = 10x \n" ); document.write( "2x = 80 \n" ); document.write( "x = 40 hrs (time for Pat to do the job alone) \n" ); document.write( "=========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |