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### Discussion :: Time and Work

1. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

2.  A. 12 days B. 15 days C. 16 days D. 18 days

Answer : Option B

Explanation :

A's 2 day's work =$$[\frac { 1 } { 20 }*2]$$=$$\frac { 1 } { 10}$$

(A + B + C)'s 1 day's work =[$$\frac { 1 } { 20}$$+$$\frac { 1 } { 30}$$+$$\frac { 1 } { 60}$$]=$$\frac { 6 } { 60}$$=$$\frac { 1 } { 10}$$

Work done in 3 days =[$$\frac { 1 } { 10}$$+$$\frac { 1 } { 10}$$]=$$\frac { 1 } { 5}$$

Now,   $$\frac { 1 } { 5}$$  work is done in 3 days.

Whole work will be done in (3 x 5) = 15 days

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