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Total work = LCM of 40, 80, and 120 = 240 units. Rahul's daily work = 240/40 = 6 units. Rohit's daily work = 240/80 = 3 units. Raj's daily work = 240/120 = 2 units. Work done in the first 10 days = 10 × (6 + 3 + 2) = 110 units. Work done by Rohit and Raj together in the next 12 days = 12 × (3 + 2) = 60 units. Remaining work = 240 - 110 - 60 = 70 units. Time taken by Raj alone to complete the remaining work = 70/2 = 35 days. Total days Raj worked = 10 + 12 + 35 = 57 days
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