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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?

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?
[A].

40

[B].

50

[C].

54

[D].

60

Answer: Option D

Explanation:

(A + B)’s 20 day’s work = 1 x 20 = 2 .
30 3
Remaining work = 1 – 2 = 1 .
3 3
Now, 1 work is done by A in 20 days.
3

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