Imran can do a piece of work in 12 days, while Hashim can do the same in 36 days and Rajat in 18 days. If Imran is assisted by Hashim and Rajat respectively on alternate days, then find the number of days in which the work will be finished.
Work done by Imran in one day = 1/12
Work done by Hashim in one day = 1/36
Work done by Rajat in one day = 1/18
Work done by Imran and Hashim together in one day = (1/12) + (1/36) = 1/9
Work done by Imran and Rajat together in one day = (1/12) + (1/18) = 5/36
Work done in 2 days = (1/9) + (5/36) = 1/4
Time taken to complete the work = 2/(1/4) = 2×4 = 8 days