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1/5th of a work in 2 days
It took 2×(5/1) = 10 days to complete the work by A
2/3rd of a work = 8 days
It took 8×(3/2) = 12 days to complete the work by B
let they take x days to complete together
1/x = (1/10)+(1/12) = (6+5)/60 = 11/60
⇒x = 60/11 days