A can do a piece of work in 12 days. when he had worked for 3 days. b joined him. if they complete the work in 3 more days, in how many days can b alone finish the work
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HERE IS YOUR ANSWER
let the no. of days in which B alone can finish the work be x
given A can finish the work alone in 12 days
amount of work done in 12 days by A= 1
amount of work by A in 3 days= 3/12
amount of work done by B in x days=1
amount of work done by B in 3 days= 3/x
According to the ques---->
3/12 +3/12 +3/x=1
(first 3 days A works alone then A and B together do the work for 3 more days)
3/x= 1- 3/12 -3/12
3/x=1-1/2
3/x= 1/2
x=3*3
x=6 days
Thus B can finish the work alone in 6 days
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