Kiran , Leena and Manjiri can do a piece of work individually in 8, 12 and 30 days, respectively. Kiran and Leena start working but Kiran quits after working for 2 days. After this, Manjiri joins Leena till the completion of work. In how many days will the work be completed?

Assuming the total work is the least common multiple of 8, 12 and 30, we get 120 units. Kiran, Leena and Manjiri have work rates of 15, 10 and 4 units per day respectively. Kiran and Leena work for 2 days to complete 50 units, leaving 70 units of work. Leena and Manjiri then work together at 14 units per day, taking exactly 5 more days to finish, making the total time 7 days. The result is 7 days.

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