Sowmya takes 6 days less that the number of days takes by Bhagya to complete a piece of work. If both Sowmaya and Bhagya together can complete the same work in 4 days, in how many days will Bhagya alone complete the work?

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Solution

Let Bhagya take x days to complete the task.

∴Work done by Bhagya in one day = part of total work

Here, number of days taken by Sowmya to complete the task = x – 6

∴Work done by Sowmya in one day = part of total work

It is given that both of them complete the task in 4 days.

Here, x = 2 is not possible as 2 < 6.

∴x = 12

Hence, Bhagya takes days to complete the work.

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