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- A and B together can complete a work in 3 days.
Question 1:
A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in A. 5 Days
B. 10 Days
C. 6 Days
Feedback A and B’s 1 day’s work = 1/3
Their 2 day’s work = 1/3 × 2 = 2/3
Remaining work = 1/3
1/3 of the work is finished by A in 2 days
Then, the whole work can be finished by A alone in 3 × 2 = 6 days
So, A’s 1 day’s work = 1/6
Therefore, B’s 1 day’s work = 1/3 – 1/6 = 1/6
Therefore, the whole work can be done B alone in 6 days.
Their 2 day’s work = 1/3 × 2 = 2/3
Remaining work = 1/3
1/3 of the work is finished by A in 2 days
Then, the whole work can be finished by A alone in 3 × 2 = 6 days
So, A’s 1 day’s work = 1/6
Therefore, B’s 1 day’s work = 1/3 – 1/6 = 1/6
Therefore, the whole work can be done B alone in 6 days.
D. 9 Days
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