A can finish a work in 20 days, and B take 25 days to finish the same work both of them started together but after 4 days A left the work Then now in how many days will B finish the rest of the work
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As A and B do same work
LCM (20,25)=100
Let say A and B do 100 work
Per day work of A=100/20=5
Per day work of B=100/25=4
Per day work if A and B both work together=5+4=9
Both together worked for 5 days.
Therefore work completed in 5 days=5×9=45
Now work which is left =100–45=55
As A left the work after 5 days ,B alone will work to complete 55 work
Per day work of B ×days = 55
days =55/4
days=13 3/4
Therefore total work will be completed by
5+13 3/4=18 and 3/4 days
Answer is 18 3/4
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