Working alone, Tom finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Tom alone cleans the entire house in 6 hours. How many hours will it take Nick and Tom to clean the entire house if they work together?
Choose the correct choice from the following:
A) 1.5 B) 2 C) 2.4 D) 3 E) 3.6
Answer is 3.6 hours.   Tom does the complete house in 6 hours while Nick does it in 9 hours. 1/ (1/6+1/9)= 3.6   answer is 3.6
<result>E</result>
Working alone, Tom finishes cleaning half the house in a third of the time it takes Nick to clean the entire house alone. Tom alone cleans the entire house in 6 hours. How many hours will it take Nick and Tom to clean the entire house if they work together?