Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

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?

12 days

15 days

16 days

18 days

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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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