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Question

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

Options:
A .  40
B .  50
C .  54
D .  60
Answer: Option D

(A + B)'s 20 day's work = \(\left(\frac{1}{30}\times20\right) = \frac{2}{3}.\)


Remaining work =  \(\left(1-\frac{2}{3}\right) = \frac{1}{3}.\)


Now,  \(\frac{1}{3}\)   work is done by A in 20 days.


Therefore, the whole work will be done by A in (20 x 3) = 60 days.


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