Multiple Choice Questions

A is 25 more efficient than B C does half the work done by A amp B together If C alone does th...........

Quantitative Aptitude (IB) Time and work

A is 25% more efficient than B. C does half the work done by A & B together. If C alone does the work n 30 days, then A alone can do the work in

32days

27days

22days

25(1/2)days

Explanation :

A’s one day’s work:B’s one days work = 125:100 = 5:4

Let A’s & B’s one day’s work be 5x and 4x days

Then C’s one day’s work = 9x/2

= > 9x/2 = 1/30

= > x = ((1/30)*(2/9)) = 1/135

A’s one day’s work = 5/135 = 1/27

= 27 days

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