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If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?
- a)60
- b)45
- c)40
- d)30
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If A and B together can complete a piece of work in 15 days and B alon...
(A + B)’s 1 day’s work = 1/15
B’s 1 day’s work = 1/20
∴ A’s 1 day’s work
= 1/15 - 1/20
= (4-3)/60
= 1/60
∴ A alone will do the work in 60 days.
B’s 1 day’s work = 1/20
∴ A’s 1 day’s work
= 1/15 - 1/20
= (4-3)/60
= 1/60
∴ A alone will do the work in 60 days.
Most Upvoted Answer
If A and B together can complete a piece of work in 15 days and B alon...
Explanation:
Given data:
- A+B can complete work in 15 days
- B alone can complete work in 20 days
Let's calculate:
Efficiency:
Let's assume the total work to be done is 60 units (LCM of 15 and 20)
- A+B's efficiency: 60/15 = 4 units/day
- B's efficiency: 60/20 = 3 units/day
Work done by A alone:
As A+B's efficiency is 4 units/day and B's efficiency is 3 units/day, A's efficiency will be the difference between the two, which is 1 unit/day.
Time taken by A alone to complete the work:
Now, as A's efficiency is 1 unit/day, A will take 60 units of work in 60 days.
Therefore, A alone can complete the work in 60 days.
So, the correct answer is option A) 60.
Given data:
- A+B can complete work in 15 days
- B alone can complete work in 20 days
Let's calculate:
Efficiency:
Let's assume the total work to be done is 60 units (LCM of 15 and 20)
- A+B's efficiency: 60/15 = 4 units/day
- B's efficiency: 60/20 = 3 units/day
Work done by A alone:
As A+B's efficiency is 4 units/day and B's efficiency is 3 units/day, A's efficiency will be the difference between the two, which is 1 unit/day.
Time taken by A alone to complete the work:
Now, as A's efficiency is 1 unit/day, A will take 60 units of work in 60 days.
Therefore, A alone can complete the work in 60 days.
So, the correct answer is option A) 60.
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Community Answer
If A and B together can complete a piece of work in 15 days and B alon...
A) 60
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If A and B together can complete a piece of work in 15 days and B alone in 20 days, in how many days can A alone complete the work?a)60b)45c)40d)30Correct answer is option 'A'. Can you explain this answer?
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