‘A’ is 60% more efficient than ‘B’. ‘B’ takes 40 days to finish the work, and ‘C’ takes 10 days more than ‘A’ to finish it. Find the maximum number of days they can work together so that the work doesn’t get completed.

According to the question, If A is 60% more efficient than B ⇒ efficiency ratio A:B = 8:5 So, time taken by ‘A’ to complete the work = 40 × 5/8 = 25 days Time taken by ‘C’ to complete the work = 25 + 10 = 35 days Let the total work = 1400 units Efficiency of ‘A’ = 1400/25 = 56 units/day Efficiency of ‘B’ = 1400/40 = 35 units/day Efficiency of ‘C’ = 1400/35 = 40 units/day When they work together for 11 days, work done = (56 + 35 + 40) × 11 = 131 × 11 = 1441 units Therefore, maximum number of days they can work together such that the work doesn’t get completed is 10 days.