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A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?
- a)7 days
- b)8 days
- c)9 days
- d)10 days
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A mother and a doughter working together can complete a work in 4 days...
(M + D)'s one day's work = 1/4
Remaining work = 3/4
M's one day's work = 1/6
D's one day's work = 1/4 - 1/6 = 1/12
∴ 1/12 th of the work is done by the daughter in 1 day
3/4 th of the work will be done by daughter in
12 x 3/4 = 9 days
Remaining work = 3/4
M's one day's work = 1/6
D's one day's work = 1/4 - 1/6 = 1/12
∴ 1/12 th of the work is done by the daughter in 1 day
3/4 th of the work will be done by daughter in
12 x 3/4 = 9 days
Most Upvoted Answer
A mother and a doughter working together can complete a work in 4 days...
Solution:
Let's assume that the total work is represented by 'W'.
Mother and daughter working together can complete the work in 4 days, so their combined work rate is:
1/4 of the work per day.
If the mother works alone, she can complete the work in 6 days, so her work rate is:
1/6 of the work per day.
Now, let's calculate the work done by the mother and daughter together in one day:
Work done by the mother and daughter together in one day = 1/4 of the work
Work done by the mother alone in one day = 1/6 of the work
Since they worked together for one day, the work done by both of them is:
1/4 of the work + 1/6 of the work = (3+2)/12 = 5/12 of the work
This means that they completed 5/12 of the work in one day.
Remaining work = 1 - (5/12) = 7/12 of the work
Now, we need to find out how long the daughter will take to complete the remaining work.
Let's assume that the daughter takes 'D' days to complete the remaining work.
Her work rate is 1/D of the work per day.
We can set up the following equation to solve for 'D':
(1/D) * 1 = 7/12
Cross-multiplying, we get:
D = 12/7
D ≈ 1.71 days
Since we can't have a fraction of a day, we round up to the nearest whole number.
Therefore, the daughter will take approximately 2 days to complete the remaining work.
Answer: c) 9 days
Let's assume that the total work is represented by 'W'.
Mother and daughter working together can complete the work in 4 days, so their combined work rate is:
1/4 of the work per day.
If the mother works alone, she can complete the work in 6 days, so her work rate is:
1/6 of the work per day.
Now, let's calculate the work done by the mother and daughter together in one day:
Work done by the mother and daughter together in one day = 1/4 of the work
Work done by the mother alone in one day = 1/6 of the work
Since they worked together for one day, the work done by both of them is:
1/4 of the work + 1/6 of the work = (3+2)/12 = 5/12 of the work
This means that they completed 5/12 of the work in one day.
Remaining work = 1 - (5/12) = 7/12 of the work
Now, we need to find out how long the daughter will take to complete the remaining work.
Let's assume that the daughter takes 'D' days to complete the remaining work.
Her work rate is 1/D of the work per day.
We can set up the following equation to solve for 'D':
(1/D) * 1 = 7/12
Cross-multiplying, we get:
D = 12/7
D ≈ 1.71 days
Since we can't have a fraction of a day, we round up to the nearest whole number.
Therefore, the daughter will take approximately 2 days to complete the remaining work.
Answer: c) 9 days
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A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer?
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A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer?.
A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mother and a doughter working together can complete a work in 4 days. But if the mother works alone, she can complete the work in 6 days. Both of them worked for one day and then the mother had to leave. How long will the daughter take to complete the remaining work?a)7 daysb)8 daysc)9 daysd)10 daysCorrect answer is option 'C'. Can you explain this answer?.
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