document.write( "Question 148363: An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each person working alone to do the job? \n" ); document.write( "
Algebra.Com's Answer #108748 by ptaylor(2198)\"\" \"About 
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\n" ); document.write( "Let x=the rate at which the apprentice can panel the room
\n" ); document.write( "Then 3x=rate at which the carpenter can panel the room
\n" ); document.write( "Together the two can panel the room at the rate of x+3x or 4x rooms per hour.
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "4x rooms per hour times 6 hours equals one room or:
\n" ); document.write( "4x*6=1
\n" ); document.write( "24x=1
\n" ); document.write( "x=1/24 rooms per hour -----rate of the apprentice
\n" ); document.write( "So, in 24 hours, the apprentice can panel the room
\n" ); document.write( "3x=3/24 rooms per hour=1/8 rooms per hour-----rate of the carpenter
\n" ); document.write( "So in 8 hours the carpenter can panel the room
\n" ); document.write( "together they panel at the rate of 1/24 + 3/24 or 4/24=1/6 rooms per hour which means that in 6 hours they can panel one room\r
\n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor \n" ); document.write( "
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