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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?
Verified Answer
If A and B together can complete a piece of work in 15 days and B alo...
A and b can complete the work in 15 days.
Percentage of work done by a and b in one day = 100/15=6.66%
b alone can complete the whole work in 20 days.
So, percentage of work done by b in one day = 100/20=5%
Percentage of work done by a in one day = 6.66-5=1.66%
Thus, a can complete the whole work alone in = 100/1.66=60 days (approx)
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Most Upvoted Answer
If A and B together can complete a piece of work in 15 days and B alo...

Given Information:
- A and B together can complete a piece of work in 15 days
- B alone can complete the work in 20 days

Approach:
- Let's first calculate the efficiency of A and B working together
- Then, we can find the efficiency of A alone
- Finally, we can determine how many days A alone would take to complete the work

Calculations:
- Let the total work be 60 units (LCM of 15 and 20)
- Efficiency of A and B working together = Total work / Time taken = 60 units / 15 days = 4 units/day
- Efficiency of B alone = Total work / Time taken = 60 units / 20 days = 3 units/day
- Efficiency of A alone = Efficiency of A and B together - Efficiency of B alone = 4 units/day - 3 units/day = 1 unit/day

Final Answer:
- A alone can complete the work in 60 units / 1 unit/day = 60 days

Therefore, the correct answer is option A) 60 days.
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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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