A can do a piece of work in 24 days and B in 30 days. They work together for 6 days and then A leaves. How many days will B take to complete the remaining work?
Explanation:
Total work = LCM(24, 30) = 120 units. Efficiency of A = 5, B = 4. Combined efficiency = 9. In 6 days, work done = 6 * 9 = 54 units. Remaining work = 120 - 54 = 66 units. Time taken by B to complete the remaining work = 66 / 4 = 16.5 days.
A can do a piece of work in 15 days and B in 20 days. They began the work together but A left after 4 days. In how many days will B complete the remaining work?
Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 4 days, work completed = 4 * 7 = 28 units. Remaining work = 60 - 28 = 32 units. Time taken by B to complete remaining work = 32 / 3 = 10(2/3) days.
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