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### Discussion :: Time and Work

1. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

2.  A. 4 days B. 6 days C. 8 days D. 12 days

Explanation :

Suppose A, B and C take x,$$\frac {X } { 2 }$$and$$\frac {X } { 3}$$days respectively to finish the work.

Then,[$$\frac { 1 } { X }$$+$$\frac { 2 } { X }$$+$$\frac { 3 } { X }$$]=$$\frac { 1 } { 2 }$$

$$\frac { 6 } { X }$$=$$\frac { 1 } { 2 }$$

x = 12.

So, B takes (12/2) = 6 days to finish the work.

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