document.write( "Question 1031218: Sue can collect data from 5 more houses per hour than Joe. It took Sue 2 hours less to collect data from 120 houses than it took Joe to collect data from the same number of houses. What is Joe's rate of collecting data. \n" ); document.write( "
Algebra.Com's Answer #645955 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Sue can collect data from 5 more houses per hour than Joe. \n" ); document.write( "Joe rate = x houses/hour \n" ); document.write( "Sue rate = (x+5) houses/hour \n" ); document.write( "-------------------------------- \n" ); document.write( " It took Sue 2 hours less to collect data from 120 houses than it took Joe to collect data from the same number of houses. What is Joe's rate of collecting data. \n" ); document.write( "------------ \n" ); document.write( "Sue time to collect 120 houses:: 120/(x+5)) \n" ); document.write( "----- \n" ); document.write( "Joe time to collect 120 houses 120/x) = 120x \n" ); document.write( "----- \n" ); document.write( "120/x - 120/(x+5) = 2 hrs \n" ); document.write( "------------------------- \n" ); document.write( "120(x+5) - 120x = 2x(x+5) \n" ); document.write( "600 = 2x^2 + 10x \n" ); document.write( "x^2 + 5x - 300 = 0 \n" ); document.write( "------------------------ \n" ); document.write( "x = 15 houses per hour (Joe's rate) \n" ); document.write( "x+5 = 20 houses per hour (Sue's rate) \n" ); document.write( "----------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |