document.write( "Question 433597: Chris can construct a robot on an erector set in 7 hours. His friend, Cristobal, can construct a robot using the same materials in 8 hours. How long would it take them to construct a robot if they both worked together? \n" ); document.write( "
Algebra.Com's Answer #300566 by stanbon(75887) ![]() You can put this solution on YOUR website! Chris can construct a robot on an erector set in 7 hours. His friend, Cristobal, can construct a robot using the same materials in 8 hours. How long would it take them to construct a robot if they both worked together? \n" ); document.write( "---- \n" ); document.write( "Chris rate = 1/7 job/hr \n" ); document.write( "Friend's rate = 1/8 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( "1/7 + 1/8 = 1/x \n" ); document.write( "Multiply thru by 56x to get: \n" ); document.write( "8x + 7x = 56 \n" ); document.write( "15x = 56 \n" ); document.write( "x = 3 11/56 hrs (time to do the job together) \n" ); document.write( "--- \n" ); document.write( "x = 3 hr 12 minutes \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |