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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
B's 1 day's work = 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...
A piece of work can be done in 30days the whole work they will compleate ijn 16+44=60days
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A and B together can do a piece of work in 30 days. A having worked fo...
Given data:
A and B together can do a piece of work in 30 days.
A worked for 16 days and B finishes the remaining work alone in 44 days.
To find: In how many days shall B finish the whole work alone?
Solution:
Let the work be W.
Let the efficiency of A be a and that of B be b.
From the given data, we can form the following equations:
Efficiency equation: a + b = W/30
Work equation 1: 16a + (30-16)b = W
Work equation 2: 44b = W - 16a
We need to find out the value of b, i.e., the number of days B can finish the whole work alone.
Solving the above equations, we get:
a = W/30 - b
16(W/30 - b) + 14b = W
16W/30 - 16b + 14b = W
2b = W/15
b = W/30
Therefore, B can finish the whole work alone in 30 days. Hence, the correct option is (c) 60 days.
Note: It is important to understand the concept of efficiency and work equations to solve these types of problems. Also, it is recommended to cross-check the answer by substituting the obtained value of b in the given equations to ensure that it satisfies all the conditions.
A and B together can do a piece of work in 30 days.
A worked for 16 days and B finishes the remaining work alone in 44 days.
To find: In how many days shall B finish the whole work alone?
Solution:
Let the work be W.
Let the efficiency of A be a and that of B be b.
From the given data, we can form the following equations:
Efficiency equation: a + b = W/30
Work equation 1: 16a + (30-16)b = W
Work equation 2: 44b = W - 16a
We need to find out the value of b, i.e., the number of days B can finish the whole work alone.
Solving the above equations, we get:
a = W/30 - b
16(W/30 - b) + 14b = W
16W/30 - 16b + 14b = W
2b = W/15
b = W/30
Therefore, B can finish the whole work alone in 30 days. Hence, the correct option is (c) 60 days.
Note: It is important to understand the concept of efficiency and work equations to solve these types of problems. Also, it is recommended to cross-check the answer by substituting the obtained value of b in the given equations to ensure that it satisfies all the conditions.
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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 Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant 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 Quant 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?.
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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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