document.write( "Question 973655: One highway worker can pick up all the trash on a strip of highway in 5 hours, and his helper can pick up the trash in 7 hours. How long will it take them if they work together? \n" ); document.write( "
Algebra.Com's Answer #595758 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One highway worker can pick up all the trash on a strip of highway in 5 hours, and his helper can pick up the trash in 7 hours. How long will it take them if they work together? \n" ); document.write( "------------ \n" ); document.write( "1st worker rate:: 1/5 job/hr \n" ); document.write( "2nd worker rate:: 1/7 job/hr \n" ); document.write( "--- \n" ); document.write( "Together rate: 1/x job/hr \n" ); document.write( "------ \n" ); document.write( "Equation:: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/5 + 1/7 = 1/x \n" ); document.write( "7x + 5x = 5*7 \n" ); document.write( "12x = 35 \n" ); document.write( "---- \n" ); document.write( "x = 35/12 = 2 11/12 hrs = 2hr 55 minutes (time to do the job together) \n" ); document.write( "---------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " |