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self doubts

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Two friends A and B were employed to do a work. Initial deadline was fixed at 24 days. Both started working together but after 20 days, A left the work and the whole work took 30 days to complete. In how much time can B alone can do the work?

( In this question what in initial unit to do work or total work)
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2 Answers

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At first 1/A + 1/B = 1/24

But A left after 20 days, so

20/A + 30/B  = 1

Solving these two equations will give B completes the work in 60 days alone.
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so both A and B worked for 20 days so reaming work = 24-20 = 4 days
so B completed 4 days work in 10 days
therefore for completing 24 days work B will take 10*6 = 60 days
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