Aman and Farhan can complete a work in 30 days. Aman works for 16 days and Farhan finishes remaining work in 44 days. In how many days will Farhan complete the work alone?

Let Aman's one day work be A and Farhan's one day work be F. Their combined rate is A + F = 1/30. Substituting A = 1/30 - F into the equation 16A + 44F = 1 gives 16(1/30 - F) + 44F = 1. Solving 8/15 + 28F = 1 gives 28F = 7/15, so F = 1/60. Farhan alone will complete the work in 60 days.

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