Syntel Company Numerical Ability Time and Work

A,B,C together can finish a work in 24 days, A and C together can do twice as much as B does.Also, A and B can do thrice as much as C does. Find the time taken by each to finish the work.
[A] 64 days
[C] 42 days
[B] 23 days
[D] 72 days

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Syntel Other Question

A and B can do a piece of work in 18 days.B and C together can do it in 24 days. if A is twice as good a work man as C, find in what time B alone can do it.
[A] 36 days
[C] 16 days
[B] 11 days
[D] 20 days
A does half as much work as B in one third of the time. if together they take 20 days to complete a work, how much time shall B take to do it?
[A] 40 days
[C] 50 days
[B] 36 days
[D] 34 days