A can fo a puece of work in 15 days alone abd b can do same work in 12 day
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A alone can do the work in 12 days he can do = 1/12 work in one day
B alone can do the work in 15 days
He can do = 1/15 work in one day
A works for 4 days
Work done = 4 × 1/12 = 4/12 = 1/3
work remaining = 1 - 1/3 = 2/3
A and B together can do = 1/12 + 1/15 = (5+4)/60 = 9/60 work in 1 day.
To finish the remaining work together, they need = (2/3) ÷ (9/60) = 2/3 × 60/9 = 40/9 days = 4 4/9 days
They need 4 4/9 days to finish the work.
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