document.write( "Question 126410: Ron can paint a room in 6 hours working alone. If his son, Jason, helps him, the job takes 4 hours. How long would it take Jason to do the job alone? \n" ); document.write( "
Algebra.Com's Answer #92617 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Ron can paint a room in 6 hours working alone. If his son, Jason, helps him, the job takes 4 hours. How long would it take Jason to do the job alone? \n" ); document.write( "-------------------- \n" ); document.write( "Ron DATA; \n" ); document.write( "Time = 6 hrs/job ; Rate = 1/6 job/hr \n" ); document.write( "------------------ \n" ); document.write( "Jason DATA: \n" ); document.write( "Time = x hrs/job ; Rate = 1/x job/hr \n" ); document.write( "------------------ \n" ); document.write( "Together DATA: \n" ); document.write( "Time = 4 hrs/job ; Rate = 1/4 job/hr \n" ); document.write( "-------------------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/6 + 1/x = 1/4 \n" ); document.write( "(x+6)/6x = 1/4 \n" ); document.write( "4x+24 = 6x \n" ); document.write( "2x = 24 \n" ); document.write( "x = 12 hrs (Time for Jason alone) \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |