document.write( "Question 557116: Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together? \n" ); document.write( "
Algebra.Com's Answer #362450 by stanbon(75887) ![]() You can put this solution on YOUR website! Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together? \n" ); document.write( "------- \n" ); document.write( "Ramil rate: 1/4 job/hr \n" ); document.write( "Dino rate: 1/5 job/hr \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( "1/4 + 1/5 = 1/x \n" ); document.write( "5x + 4x = 20 \n" ); document.write( "9x = 20 \n" ); document.write( "Together rate: 1/x = 9/20 job/hr \n" ); document.write( "---- \n" ); document.write( "Time to finish the job (11/20 th of the job) \n" ); document.write( "--- \n" ); document.write( "Let \"x\" be amount of time to finish the job together. \n" ); document.write( "x(20/9) = 21/20 \n" ); document.write( "x = 21/9 hrs = 2 1/3 hrs \n" ); document.write( "=================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=========== \n" ); document.write( " \n" ); document.write( " |