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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
- a)30 days
- b)40 days
- c)60 days
- d)70 days
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A and B together can do a piece of work in 30 days. A having worked fo...
Let A's 1 day's work = x and B's 1 day's work = y
Then, x + y = 1/30 and 16x + 44y = 1
Solving these two equations, we get x = 1/60 and y = 1/60
Hence, B alone shall finish the whole work in 60 days
Then, x + y = 1/30 and 16x + 44y = 1
Solving these two equations, we get x = 1/60 and y = 1/60
Hence, B alone shall finish the whole work in 60 days
Most Upvoted Answer
A and B together can do a piece of work in 30 days. A having worked fo...
Let's assume that A's work rate is "a units/day" and B's work rate is "b units/day".
Given information:
- A and B together can do a piece of work in 30 days.
- A having worked for 16 days, B finishes the remaining work alone in 44 days.
Work done by A in 16 days = 16 * a units
Work done by B in 44 days = 44 * b units
The total work done by A and B together is equal to the work done by A in 16 days plus the work done by B in 44 days.
Total work done by A and B = 16a + 44b
We also know that A and B together can do the work in 30 days.
So, the work done by A and B in 30 days = 30 * (a + b)
Since the total work done by A and B is equal to the work done by A and B together, we can equate the two equations.
16a + 44b = 30(a + b)
Simplifying the equation, we get:
16a + 44b = 30a + 30b
14a = 14b
a = b
This implies that A and B have the same work rate.
To find the work rate of B, we can substitute the value of a or b in any of the above equations. Let's substitute a = b:
16a + 44a = 30(a + a)
60a = 60a
a = a
We can see that the work rate of A and B is the same, which means they can do an equal amount of work in a day.
Since A and B together can finish the work in 30 days, and we know that A has already worked for 16 days, B will take the remaining days to finish the work alone.
Number of days B will take to finish the remaining work = 30 - 16 = 14 days
Therefore, B will take 14 days to finish the whole work alone.
Given information:
- A and B together can do a piece of work in 30 days.
- A having worked for 16 days, B finishes the remaining work alone in 44 days.
Work done by A in 16 days = 16 * a units
Work done by B in 44 days = 44 * b units
The total work done by A and B together is equal to the work done by A in 16 days plus the work done by B in 44 days.
Total work done by A and B = 16a + 44b
We also know that A and B together can do the work in 30 days.
So, the work done by A and B in 30 days = 30 * (a + b)
Since the total work done by A and B is equal to the work done by A and B together, we can equate the two equations.
16a + 44b = 30(a + b)
Simplifying the equation, we get:
16a + 44b = 30a + 30b
14a = 14b
a = b
This implies that A and B have the same work rate.
To find the work rate of B, we can substitute the value of a or b in any of the above equations. Let's substitute a = b:
16a + 44a = 30(a + a)
60a = 60a
a = a
We can see that the work rate of A and B is the same, which means they can do an equal amount of work in a day.
Since A and B together can finish the work in 30 days, and we know that A has already worked for 16 days, B will take the remaining days to finish the work alone.
Number of days B will take to finish the remaining work = 30 - 16 = 14 days
Therefore, B will take 14 days to finish the whole work alone.
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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer?
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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer?.
A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?a)30 daysb)40 daysc)60 daysd)70 daysCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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