A alone would take 8 days more to complete the job than if both A and B would together. If B worked alone, he took 4 1⁄2 days more to complete the job than A and B worked together. What time would they take if both A and B worked together?	Choose the correct choice from the following choices.
A) 7 days
B) 5 days
C) 4 days
D) 6 days
E) None of these
Let if both A and B work together, they take x days.   ∴ (A + B)’s 1 days’s work = 1⁄x th work   A’s 1 day’s work = 1⁄(x + 8) th work.   B’s 1 day’s work = 1⁄(x + 9/2) th work.   Now, 1/x+8 + 2/2x+9==1/x   ⇒ x(2x + 9 + 2x + 16) = (x + 8)(2x + 9)   ⇒ 4x2 + 25x = 2x2 + 25x + 72   ⇒ x2 = 36 ⇒ x = 6 days   Answer 6 days
<result>D</result>
A alone would take 8 days more to complete the job than if both A and B would together. If B worked alone, he took 4 1⁄2 days more to complete the job than A and B worked together. What time would they take if both A and B worked together?