document.write( "Question 446642: Nicole and Stand share a newspaper route. Nicole can deliver papers 3 times faster then Stan. If they work together it takes them one hour. How long will it take to deliver the papers alone? \n" ); document.write( "
Algebra.Com's Answer #307586 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Nicole and Stan share a newspaper route. \n" ); document.write( "Nicole can deliver papers 3 times faster then Stan. \n" ); document.write( "If they work together it takes them one hour. \n" ); document.write( "How long will it take to deliver the papers alone? \n" ); document.write( "---- \n" ); document.write( "Let Stan's time = 3x hrs/job ; then his rate = 1/3x job/hr \n" ); document.write( "--- \n" ); document.write( "Nicole's time = x hrs/job ; then her rate = 1/x job/hr. \n" ); document.write( "-------- \n" ); document.write( "Together time = 1 hr/job ; their rate = 1 job/hr \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = 1 \n" ); document.write( "1/(3x) + 1/x = 1 \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 3x: \n" ); document.write( "1 + 3 = 3x \n" ); document.write( "4 = 3x \n" ); document.write( "x = (4/3) hr or 1hr 20 min (time for Nicole to do the job alone) \n" ); document.write( "3x = 4 hr (time for Stan to do the job alone) \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |