A and B can complete a work in 12 days . However A had to leave a few days before it completed . And hence it took 16 days in all to complete the task . If A alone could complete the work in 21 days . How many days before the work gettinh over did A leave ?
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Answer:
B can alone do the work =
1/ (1/12 -1/21)
1/B .......= 7-4/84=3/84 = 1/28
B......28 DAYS
Let A worked X days
So
Work done by A + Work done by B =1
X/21 +16/28 =1
X/21 = 12/28
X=9
A worked for 9 days means A left work before ( 16-9=) 7 days of completion
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