Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 5 days before the completion of the work. How long did the work last? Select the correct option:
A) 6	B) 7	C) 8	D) 8 1/9	E) 10
Abel in the 2 days that he worked completed 1/5 of the job = 4/5 remains   Then if Ben had to leave 5 days before the completion, this means that Carla had to work alone for these 5 days in which she completed 1/3 of the job.   Now together, Ben and Carla completed the job in (1/12 + 1/15)(t) = 7/15   3/20 (t) = 7/15 ---&gt; t = 3 1/9   Therefore, these 3 1/9 days worked plus the 5 days that Carla had to work by herself add to 8 1/9 days   Answer: 8 1/9
<result>D</result>
Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 5 days before the completion of the work. How long did the work last?