Wipro Company Numerical Ability Time and Work

A and B can do a piece of work in 12 days; Band C can do it
in 15 days ; A and C can do it in 20 days. In how many days will A, Band' C finish it, working all together?Also ,find the number of days taken by each to finish it working alone.

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Wipro Other Question

3 men can complete a piece of work in 6 days. Two days after
they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
Two persons A and B working together can dig a trench in 8 hours while A alone can dig it in 12 hours. In how many hours B alone can dig such a trench?