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N and K together can complete a work in 240 days, K and G together can complete the same work in 72 days and N and G together can complete the same work in 80 days. In how many days K alone can complete the same work?

N and K together can complete a work in 240 days, K and G together can complete the same work in 72 days and N and G together can complete the same work in 80 days. In how many days K alone can complete the same work? Correct Answer 360 days

Let the total work be 720 units

⇒ The work done by (N + K) is 3 units

⇒ The work done by (K + G) is 10 units

⇒ The work done by (N + G) is 9 units

⇒ The work done by (N + K +G) together is 11 units

⇒ The work done by K is (11 – 9) units = 2 unit

So, the K can complete the whole work in 720/2 days

∴ The time taken by K to complete the whole work is 360 days 

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