A and B together can complete a piece of work in 48 days while B and C together can complete the same work in 58 days. All of three together can complete 80% of the whole work in 26.4 days then find the time taken by A and C together to complete the whole work.

Note: You have to find approx. value

Solution

Time taken by A, B and C together to complete the whole work = 26.4/0.80 = 33 days Let total amount of work = 15312 (LCM of 48, 58 and 33) Efficiency of (A + B) = 15312/48 = 319 units per day Efficiency of (B + C) = 15312/58 = 264 units per day Efficiency of (A + B + C) = 15312/33 = 464 units per day Efficiency of A = 464 – 264 = 200 units per day Efficiency of C = 464 – 319 = 145 units per day Desired time = 15312/345 = 44.4 days = 44 days