document.write( "Question 747253: Two companies working together can clear a parcel of land in 13 hours. Working alone, it would take company A 10 hours longer to clear the land than it would Company B. How long would it take company B to clear the parcel of land alone?
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Algebra.Com's Answer #454787 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! Add their rates of working to get their rate working together \n" ); document.write( "Let \n" ); document.write( "given: \n" ); document.write( "B's rate: \n" ); document.write( "( 1 parcel cleared ) / ( t hrs ) \n" ); document.write( "A's rate: \n" ); document.write( "( 1 parcel cleared ) / ( t + 10 hrs ) \n" ); document.write( "Their rate working together: \n" ); document.write( "( 1 parcel cleared / t hrs ) + ( 1 parcel cleared / t + 10 hrs ) = ( 1 parcel cleared / 13 hrs ) \n" ); document.write( "---------------------- \n" ); document.write( " \n" ); document.write( "Multiply both sides by \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Complete the square \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Take square root of both sides \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Working alone, B takes 21 hrs 56 min \n" ); document.write( "check: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "OK\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |