A and B can do a piece of work in 30 days and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?
Explanation:
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
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