Question : A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?
Option 1: 30 days
Option 2: 50 days
Option 3: 40 days
Option 4: 60 days
Correct Answer: 40 days
Solution :
A does work for 3 + 2 + 2 = 7 days
Work done by A =
B does work for 3 days.
Work done by B =
Total work completed by A and B
=
=
=
So C does the remaining i.e.
Hence, the correct answer is 40 days.
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