document.write( "Question 381940: it takes rob 4 hours to paint a room. it takes darrin 3 hours to paint a room the same size. how long it take them to paint a similar sized room together \n" ); document.write( "
Algebra.Com's Answer #270826 by stanbon(75887) ![]() You can put this solution on YOUR website! it takes rob 4 hours to paint a room. it takes darrin 3 hours to paint a room the same size. how long it take them to paint a similar sized room together \n" ); document.write( "----- \n" ); document.write( "Rob rate = 1/4 job/hr \n" ); document.write( "Darrin rate = 1/3 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 + 1/3 = 1/x \n" ); document.write( "Multiply thru by 12x to get: \n" ); document.write( "3x + 4x = 12 \n" ); document.write( "7x = 12 \n" ); document.write( "x = 12/7 \n" ); document.write( "x = 1hr and (5/12)60 min \n" ); document.write( "--- \n" ); document.write( "x = 1 hr and 25 min \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |