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Interesting question!

Let's say the work was scheduled to be completed in 'x' days (assuming, of course, that all three of them would be working for 'x' days without abstentions).
So, 3x man-days are required to complete the work.
Due to abstentions, completion of work was delayed by 3 days. That is, the work was finished (x+3) days after they started. Of these (x+3) days, let's say Carol was absent for 'y' days.
So Carol worked for [(x+3) - y] days
Then, Adam worked for [(x+3) - (y+2)] days
And Bart worked for [(x+3) - (y+4)] days
So, the three of them worked for (3x+9-3y-6) man-days in total to finish the work. But 3x man-days are needed to complete the work.
Therefore, 3x-3y+3=3x----> y=1. Ans: A
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effatara
Interesting question!

Let's say the work was scheduled to be completed in 'x' days (assuming, of course, that all three of them would be working for 'x' days without abstentions).
So, 3x man-days are required to complete the work.
Due to abstentions, completion of work was delayed by 3 days. That is, the work was finished (x+3) days after they started. Of these (x+3) days, let's say Carol was absent for 'y' days.
So Carol worked for [(x+3) - y] days
Then, Adam worked for [(x+3) - (y+2)] days
And Bart worked for [(x+3) - (y+4)] days
So, the three of them worked for (3x+9-3y-6) man-days in total to finish the work. But 3x man-days are needed to complete the work.
Therefore, 3x-3y+3=3x----> y=1. Ans: A

Thanks

Have you assumed that all three have same rate to say that you need 3x mandays?
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Mo2men

Yes, I did. Since nothing to the contrary is mentioned that is an automatic assumption.

There is actually a quicker way of solving this:
3 extra days means 3*3=9 man-days have been lost due to abstentions. Let's say Carol absented for 'y' days. Then, Adam and Bart absented for (y+2) and (y+4) days respectively. Consequently, [y+(y+2)+(y+4)]=(3y+6) man-days were lost.
So, 3y+6=9---> y=1

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