document.write( "Question 37542: It takes Tom 4 hours to buid a fence. If he hires Jack to help him, together they can do the job in just 3 hours. If Jack built the same fence alone, how long would it take him? \n" ); document.write( "
Algebra.Com's Answer #23153 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! It takes Tom 4 hours to buid a fence. If he hires Jack to help him, together they can do the job in just 3 hours. If Jack built the same fence alone, how \n" ); document.write( "long would it take him?\r \n" ); document.write( "\n" ); document.write( "Tom Data: \n" ); document.write( "time to do job= 4 hours; rate =1/4 job/hr. \n" ); document.write( "Jack Data: \n" ); document.write( "time to do job= x hrs ; rate = 1/x job/hr \n" ); document.write( "Together Data: \n" ); document.write( "time to do job= 3 hrs.; rate = 1/3 job/hr \n" ); document.write( "EQUATION: \n" ); document.write( "rate + rate = rate \n" ); document.write( "1/4 + 1/x = 1/3 \n" ); document.write( "3x + 12 = 4x \n" ); document.write( "x=12 hrs. (Time is would take Jack to do job alone) \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |