Anshu can complete a work in 10 days, Shivangi can complete a work in 50 days and Chetna can complete it in 25 days.left 3 days before the completion of the work. In how many days work was completed?

 

Anshu can complete a work in 10 days, Shivangi can complete a work in 50 days and Chetna can complete it in 25 days. All of them began the work together. However, Anshu left after 2 days from the start of the work and Shivangi left 3 days before the completion of the work. In how many days work was completed?

 

A.    15
B.    9
C.    52/3
D.    43/3
 
D. 43/3 days.

Let us use efficiency method for solving
 
Efficiency of Anshu=10%( Since he completes in 10 days so taking       100units of work his efficiency is 10%)
Efficiency of Shivangi=2%
Efficiency of Chetna= 4%
So, total efficiency of Anshu,Shivangi and Chetna is 16%.
Since they work for 2 days in the beginning so total work done is 32%.
For the last 3 days Chetna works alone so total work done=3*4=12%
Hence work left=(100-44)=56%
This 56% work is done by Shivangi and Chetna.

So, 56/(2+4)=28/3days.
Hence total number of days taken to complete is 2+3+28/3=43/3 days.

 

 

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