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 can K alone complete the same work?
A.240 days
B.180 days
C.360 days✓ Correct
D.280 days
Explanation
Adding all three pairs' daily work: 2(N+K+G) = 1/240+1/72+1/80 = 22/720 = 11/360. So (N+K+G)'s 1 day work = 11/720. K alone = 11/720 − 1/80 = (11−9)/720 = 2/720 = 1/360. K alone takes 360 days.
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