X, Y and Z, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2000, what will be Z's share of the earnings? Choose the correct choice from the following choices
A) $1080.90
B) $1000.90
C) $1070.90
D) $1050.90
E) $1090.90
The dollars earned will be in the same ratio as amount of work done   1 day work of Z is 1/6 (or 2/12)   1 day work of the combined workforce is (1/2 + 1/4 + 1/6) = 11/12   Z's contribution is 2/9 of the combined effort   Translating effort to $ = 6/11 * 2000 = $1090.90   hence:$1090.90
<result>E</result>
X, Y and Z, each working alone can complete a job in 2, 4 and 6 days respectively. If all three of them work together to complete a job and earn $2000, what will be Z's share of the earnings?