document.write( "Question 293667: Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself? \n" ); document.write( "
Algebra.Com's Answer #211949 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Raphael can load a large shipping truck in 15 hours. Working together, Raphael and Jana can load the same truck in 6 hours. How long would it take Jana to load the truck by herself? \n" ); document.write( "--------------------------- \n" ); document.write( "Rachael rate = 1/15 job/hr. \n" ); document.write( "--- \n" ); document.write( "Together rate = 1/6 job/hr \n" ); document.write( "--- \n" ); document.write( "Jana rate = 1/x job/hr \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/15 + 1/x = 1/6 \n" ); document.write( "Multiply thru by 30x to get: \n" ); document.write( "2x + 30 = 5x \n" ); document.write( "3x = 30 \n" ); document.write( "x = 10 hr (time Jana needs to do the job alone) \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |