Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1⁄3 as efficiently as he actually did, the work would have completed in 3 days. Find the time for A to complete the job alone.	Choices:
A) 6 1⁄4 days
B) 5 3⁄4 days
C) 5 days
D) 3 days
E) None of these
(A + B)’s one day’s work 1⁄5th work   Let A can do job in x days.   Then,A’s one day’s work = 1⁄x th work.   and B’s one day’s work = 1⁄5 - 1⁄x = x−5/5xth work.   Now, (2A)'s work + (1⁄3) B's work = 1⁄3 rd work.   ⇒ 2/x+1/3(x−5/5x)=1/3⇒ x = 25⁄4 = 61⁄4 days   6 1⁄4 daysnswer 6 1⁄4 days
<result>A</result>
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1⁄3 as efficiently as he actually did, the work would have completed in 3 days. Find the time for A to complete the job alone.