document.write( "Question 795267: If it takes one person 15 minutes to paint a room and another person 45 mintues topaint the same room, how long will it take if they work together? \n" ); document.write( "
Algebra.Com's Answer #480877 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! One person can paint a room in 15 minutes. \n" ); document.write( "Another person can paint the same room in 45 minutes. \n" ); document.write( "One person's rate = 1/15 job/min \n" ); document.write( "Another person's rate = 1/45 job/min \n" ); document.write( "Together rate = 1/x job/min\r \n" ); document.write( "\n" ); document.write( "1/15 + 1/45 = 1/x \n" ); document.write( "Common denominator = 675x \n" ); document.write( "45x + 15x = 675 \n" ); document.write( "60x = 675 \n" ); document.write( "x = 11.25 minutes \n" ); document.write( "x = 11 minutes and 15 seconds. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |