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Let the total work be 36 units (LCM of 9 and 12)
Efficiency of ‘X’ = 36 ÷ 9 = 4 units/day
Efficiency of ‘Y’ = 36 ÷ 12 = 3 units/day
Work done by ‘X’ and ‘Y’ together in 3 days = 3 × (4 + 3) = 21 units
Remaining work = 36 – 21 = 15 units
Time taken by ‘Y’ to finish the remaining work = 15 ÷ 3 = 5 days
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