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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?
- a)70 days
- b)60 days
- c)12 days
- d)65 days
- e)None of the above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A and B can together finish a work 30 days. They worked together for 2...
(A + B)'s 20day's work
Remaining work
Now, 
work is done by A in 20 days
work is done by A in 20 days∴ The whole work will be done by A in (20×3) = 60days
Most Upvoted Answer
A and B can together finish a work 30 days. They worked together for 2...
Given information:
- A and B can finish the work together in 30 days.
- They worked together for 20 days.
- B left after 20 days.
- A finished the remaining work in another 20 days.
Let's assume that A alone can finish the work in 'x' days.
Work done by A and B together in 1 day = 1/30
Work done by A and B together in 20 days = (1/30) * 20 = 2/3
Remaining work = 1 - (2/3) = 1/3
Calculating A's work efficiency:
Work done by A in 1 day = 1/x
Given that A and B worked together for 20 days, so the work done by A in 20 days = (1/x) * 20 = 20/x
Remaining work done by A in 20 days = 1/3
Therefore, we can write the equation:
20/x = 1/3
Solving this equation for x:
Cross multiplying, we get:
x = (20 * 3) / 1
x = 60
Therefore, A alone can finish the work in 60 days.
Hence, the correct answer is option 'B' - 60 days.
- A and B can finish the work together in 30 days.
- They worked together for 20 days.
- B left after 20 days.
- A finished the remaining work in another 20 days.
Let's assume that A alone can finish the work in 'x' days.
Work done by A and B together in 1 day = 1/30
Work done by A and B together in 20 days = (1/30) * 20 = 2/3
Remaining work = 1 - (2/3) = 1/3
Calculating A's work efficiency:
Work done by A in 1 day = 1/x
Given that A and B worked together for 20 days, so the work done by A in 20 days = (1/x) * 20 = 20/x
Remaining work done by A in 20 days = 1/3
Therefore, we can write the equation:
20/x = 1/3
Solving this equation for x:
Cross multiplying, we get:
x = (20 * 3) / 1
x = 60
Therefore, A alone can finish the work in 60 days.
Hence, the correct answer is option 'B' - 60 days.
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Community Answer
A and B can together finish a work 30 days. They worked together for 2...
A and B can finish a work in 30days.
so they work 30units -30days
total no. of days they work together-20days means 20unit of work.
A takes 20days to do 10 unit of work. So, he will take 60 days to complete 30 unit of work.
correct answer is 60 days.
so they work 30units -30days
total no. of days they work together-20days means 20unit of work.
A takes 20days to do 10 unit of work. So, he will take 60 days to complete 30 unit of work.
correct answer is 60 days.
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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?a)70 daysb)60 daysc)12 daysd)65 dayse)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
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