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A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?
- a)9
- b)12
- c)25
- d)27
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A can complete a work in 20 days and B can complete the same work in ...
Given:
A can complete the work in 20 days.
B can complete the work in 25 days.
To find:
What percentage of the total work will be completed in 3 days if A and B work together.
Solution:
To find the percentage of work completed in 3 days, we need to find the fraction of work completed by A and B together in 3 days.
Let's calculate the work done by A in 1 day:
A can complete the work in 20 days.
So, in 1 day, A will complete 1/20th of the work.
Similarly, let's calculate the work done by B in 1 day:
B can complete the work in 25 days.
So, in 1 day, B will complete 1/25th of the work.
Now, let's find the work done by A and B together in 1 day:
Work done by A + Work done by B = 1/20 + 1/25
= (5 + 4)/100
= 9/100
Therefore, A and B together can complete 9/100th of the work in 1 day.
To find the work done by A and B together in 3 days:
Work done by A and B together in 1 day = 9/100
Work done by A and B together in 3 days = (9/100) * 3
= 27/100
So, A and B together can complete 27/100th of the work in 3 days.
To find the percentage of work completed in 3 days:
Percentage of work completed = (Work done / Total work) * 100
Since the total work is completed in 100/100 or 1, the percentage of work completed in 3 days = (27/100) * 100
= 27%
Therefore, the correct answer is option D) 27%.
A can complete the work in 20 days.
B can complete the work in 25 days.
To find:
What percentage of the total work will be completed in 3 days if A and B work together.
Solution:
To find the percentage of work completed in 3 days, we need to find the fraction of work completed by A and B together in 3 days.
Let's calculate the work done by A in 1 day:
A can complete the work in 20 days.
So, in 1 day, A will complete 1/20th of the work.
Similarly, let's calculate the work done by B in 1 day:
B can complete the work in 25 days.
So, in 1 day, B will complete 1/25th of the work.
Now, let's find the work done by A and B together in 1 day:
Work done by A + Work done by B = 1/20 + 1/25
= (5 + 4)/100
= 9/100
Therefore, A and B together can complete 9/100th of the work in 1 day.
To find the work done by A and B together in 3 days:
Work done by A and B together in 1 day = 9/100
Work done by A and B together in 3 days = (9/100) * 3
= 27/100
So, A and B together can complete 27/100th of the work in 3 days.
To find the percentage of work completed in 3 days:
Percentage of work completed = (Work done / Total work) * 100
Since the total work is completed in 100/100 or 1, the percentage of work completed in 3 days = (27/100) * 100
= 27%
Therefore, the correct answer is option D) 27%.
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Community Answer
A can complete a work in 20 days and B can complete the same work in ...
Let total work = LCM of 20 and 25 =100 units
One day work of A = 5 units
One day work of B = 4 units
One day work of A and B together = 9 units
3 days work of A and B together = 3 x 9 =27 units
Required % = 27%
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A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?a)9b)12c)25d)27Correct answer is option 'D'. Can you explain this answer?
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