A and B can finish a piece of work in 16 days and 12 days respetively . A started the work and worked at it for 2 days . he was then joined by B. find the total time taken to finish the work?
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Answer: 6 days.
Step-by-step explanation:
Work done by A in 1 day: 1/16.
Work done by B in 1 day: 1/12.
Work done by A in 2 days 1/16 ×2= 1/8.
Work left = 1-1/8 = 7/8
Now, let A and B had to work for x days to complete 7/8 amount of work,
1/16x +1/12x = 7/8 which gives x = 6 days.
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