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A and B together can do a piece of work in 5 days and A alone can do it in 30 days. B alone can do the work in how many days?
- a)5
- b)6
- c)8
- d)10
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A and B together can do a piece of work in 5 days and A alone can do i...
Given,
A and B together can do a work in 5 days.
(A + B)’s one day work = 1/5
A can do the same work in 30 days.
A’s one day work = 1/30
Then,
B’s one day work = (A + B)’s one day work - A’s one day work
B’s one day work = 1/5 - 1/30 = (6 - 1)/30 = 5/30 = 1/6
Hence, B can do the same work = 6 days
A and B together can do a work in 5 days.
(A + B)’s one day work = 1/5
A can do the same work in 30 days.
A’s one day work = 1/30
Then,
B’s one day work = (A + B)’s one day work - A’s one day work
B’s one day work = 1/5 - 1/30 = (6 - 1)/30 = 5/30 = 1/6
Hence, B can do the same work = 6 days
Most Upvoted Answer
A and B together can do a piece of work in 5 days and A alone can do i...
Solution:
Given:
- A and B together can do a piece of work in 5 days
- A alone can do the work in 30 days
Let's find the work rate of A and B:
- Let the work rate of A be 'a' and work rate of B be 'b'
- Work rate of A + Work rate of B = Work done together
- 1/30 + 1/b = 1/5 (work rate is inversely proportional to the number of days taken)
- 1/b = 1/5 - 1/30
- 1/b = 6/30 - 1/30
- 1/b = 5/30
- 1/b = 1/6
- b = 6
Therefore, B alone can do the work in 6 days.
Given:
- A and B together can do a piece of work in 5 days
- A alone can do the work in 30 days
Let's find the work rate of A and B:
- Let the work rate of A be 'a' and work rate of B be 'b'
- Work rate of A + Work rate of B = Work done together
- 1/30 + 1/b = 1/5 (work rate is inversely proportional to the number of days taken)
- 1/b = 1/5 - 1/30
- 1/b = 6/30 - 1/30
- 1/b = 5/30
- 1/b = 1/6
- b = 6
Therefore, B alone can do the work in 6 days.
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A and B together can do a piece of work in 5 days and A alone can do it in 30 days. B alone can do the work in how many days?a)5b)6c)8d)10Correct answer is option 'B'. Can you explain this answer?
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