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? MCQ with Answer and Explanation
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?
A. 5 days
B. 4 days
C. 6 days
D. 8 days
Answer: Option A
Solution (By JKSSB Mock Tests)
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.
Explanation:
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.
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