Syntel Company Numerical Ability Time and Work

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

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Syntel Other Question

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
A,B and C together earn Rs.270 per day while A and C together earn Rs.115 and B and C together earn 167. The daily earning of C is
[A] Rs.16
[C] Rs.12
[B] Rs.17
[D] Rs.24