document.write( "Question 461969: Working alone Ann can clean the house in 7 hours. WOrking with Tom they can clean it in 4 hours. How long will it take Tom to clean the house alone? \n" ); document.write( "
Algebra.Com's Answer #316742 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Working alone Ann can clean the house in 7 hours. \n" ); document.write( "--- \n" ); document.write( "Ann's rate = 1/7 job/hr \n" ); document.write( "------------------------------- \n" ); document.write( "WOrking with Tom they can clean it in 4 hours. \n" ); document.write( "Together rate = 1/4 job/hr \n" ); document.write( "------------------------------- \n" ); document.write( "How long will it take Tom to clean the house alone? \n" ); document.write( "Tom's rate = 1/x job/hr \n" ); document.write( "================================= \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/7 + 1/x = 1/4 \n" ); document.write( "4x + 28 = 7x \n" ); document.write( "3x = 28 \n" ); document.write( "x = 28/3 hrs = 9 1/3 hrs = 9 hrs 20 minutes (Tom's time to do job alone) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==============\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |