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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?

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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?

[A]. 12 days
[B]. 15 days
[C]. 16 days
[D]. 18 days

Answer: Option B

Explanation:

A's 2 day's work = 1-sym-oparen-h1 1 x 2 1-sym-cparen-h1 = 1 .
20 10
(A + B + C)'s 1 day's work = 1-sym-oparen-h1 1 + 1 + 1 1-sym-cparen-h1 = 6 = 1 .
20 30 60 60 10
Work done in 3 days = 1-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 1 .
10 10 5
Now, 1 work is done in 3 days.
5

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

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