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A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
- a)10 days
- b)20 days
- c)15 days
- d)11 days
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A and B together can complete a work in 12 days. A alone can complete ...
- Work done by A in one day = 1/20. o B's 1 day's work (1/12 - 1/20) = (2/60)= 1/30.
- B's half day work = (1/30)/2 = 1/60
- A and B 's one day work (if B work for half day) = (1/20 + 1/60) = (4/60)= 1/15
- Therefore, total number of days to complete the work = 15 days.
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Community Answer
A and B together can complete a work in 12 days. A alone can complete ...
Given:
A and B together can complete a work in 12 days.
A alone can complete the work in 20 days.
To find:
In how many days A and B together will complete the work if B does the work only for half a day daily.
Solution:
Let's assume that the total work is represented by 'W'.
Work done by A in 1 day = 1/20th of the total work (W)
Work done by B in 1 day = 1/xth of the total work (W), where x represents the number of days it takes for B to complete the work if B works for the whole day.
Work done by A and B together in 1 day = 1/12th of the total work (W)
From the given information, we can form the following equation:
1/20 + 1/x = 1/12
To solve this equation, we need to find a common denominator:
12x + 12(20) = 20x
240 = 8x
x = 30
So, it would take B 30 days to complete the work if B works for the whole day.
But in this case, B works only for half a day daily.
Work done by B in half a day = 1/(2x)th of the total work (W)
Now, let's find the work done by A and B together in 1 day when B works for half a day daily:
1/20 + 1/(2x) = 1/y
where y represents the number of days it takes for A and B together to complete the work.
To solve this equation, we need to find a common denominator:
2x + 20 = 20x
20 = 18x
x = 20/18 = 10/9
So, it would take A and B together 10/9 days to complete the work.
But we need to convert this into a whole number of days:
10/9 = 1 + 1/9
So, A and B together will complete the work in 1 day and 1/9th of a day.
Hence, the answer is 10 + 1/9 = 11 days.
Therefore, option (d) 11 days is the correct answer.
A and B together can complete a work in 12 days.
A alone can complete the work in 20 days.
To find:
In how many days A and B together will complete the work if B does the work only for half a day daily.
Solution:
Let's assume that the total work is represented by 'W'.
Work done by A in 1 day = 1/20th of the total work (W)
Work done by B in 1 day = 1/xth of the total work (W), where x represents the number of days it takes for B to complete the work if B works for the whole day.
Work done by A and B together in 1 day = 1/12th of the total work (W)
From the given information, we can form the following equation:
1/20 + 1/x = 1/12
To solve this equation, we need to find a common denominator:
12x + 12(20) = 20x
240 = 8x
x = 30
So, it would take B 30 days to complete the work if B works for the whole day.
But in this case, B works only for half a day daily.
Work done by B in half a day = 1/(2x)th of the total work (W)
Now, let's find the work done by A and B together in 1 day when B works for half a day daily:
1/20 + 1/(2x) = 1/y
where y represents the number of days it takes for A and B together to complete the work.
To solve this equation, we need to find a common denominator:
2x + 20 = 20x
20 = 18x
x = 20/18 = 10/9
So, it would take A and B together 10/9 days to complete the work.
But we need to convert this into a whole number of days:
10/9 = 1 + 1/9
So, A and B together will complete the work in 1 day and 1/9th of a day.
Hence, the answer is 10 + 1/9 = 11 days.
Therefore, option (d) 11 days is the correct answer.
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A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?
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A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?.
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?a)10 daysb)20 daysc)15 daysd)11 daysCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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