SOLUTION: 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 ro

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.
Answer by AnlytcPhil(1810) (Show Source): 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.

Without using algebra:

The least common multiple of 12 hours and 8 hours is 24 hours.

If they worked together for 24 hours, the first builder would have framed
2 rooms and the more experienced builder would have framed 3 rooms.  

Therefore, together they could have framed 5 rooms in 24 hours, or 1 room in
1/5th of 24 hours or 1/5 times 24 hours or  or  hours.

Edwin

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