document.write( "Question 970273: Working alone, one builder can frame a room addition in 12 hours. Another, more experience builder, can do the same job only in 8 hours. How long would it take them to frame the room addition of they work together? Answer with a complete sentence. Use a mixed number in your answer. \n" ); document.write( "
Algebra.Com's Answer #592935 by AnlytcPhil(1810) You can put this solution on YOUR website! Working alone, one builder can frame a room addition in 12 hours. Another, more experience builder, can do the same job only in 8 hours. How long would it take them to frame the room addition of they work together? Answer with a complete sentence. Use a mixed number in your answer. \n" ); document.write( " \r\n" ); document.write( "Without using algebra:\r\n" ); document.write( "\r\n" ); document.write( "The least common multiple of 12 hours and 8 hours is 24 hours.\r\n" ); document.write( "\r\n" ); document.write( "If they worked together for 24 hours, the first builder would have framed\r\n" ); document.write( "2 rooms and the more experienced builder would have framed 3 rooms. \r\n" ); document.write( "\r\n" ); document.write( "Therefore, together they could have framed 5 rooms in 24 hours, or 1 room in\r\n" ); document.write( "1/5th of 24 hours or 1/5 times 24 hours or\n" ); document.write( " |