Shwetha takes 6 days less than the number of days by Ankitha to complete a piece of work. If both Shwetha and Ankitha together can complete the same work in 4 days. In how many days will Ankitha alone complete the work?

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7 Days

10 Days

12 Days

3 Days

answer is C.

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Detailed Solution

Le the number of days Ankitha takes to complete the work be x
It is given the shwetha takes 6 days less than the number of days taken by Ankitha to complete a piece of work, therefore, the number of days Shwetha takes to complete the work is (x-6)
Now, amount of work done by Ankitha together can complete the same work in 4 days, therefore, amount of work done by both in 1 day is

Thus, we have
Question Image

x=2, can not be taken because x − 6 will become −4
Thus, x=12.
Hence, the number of days Ankitha alone takes to complete the work is 12 .

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