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The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?
- a)4 days
- b)5 days
- c)6 days
- d)9 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of numb...
Ratio of number of days = 9:10:15
Work done By B and C in first two days = 2*1/6 = 1/3
Rest of the work = 2/3
Number of days = (2/3)/(1/9) = 6 days
Work done By B and C in first two days = 2*1/6 = 1/3
Rest of the work = 2/3
Number of days = (2/3)/(1/9) = 6 days
Most Upvoted Answer
The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of numb...
Ratio of number of days = 9:10:15
Work done By B and C in first two days = 2*1/6 = 1/3
Rest of the work = 2/3
Number of days = (2/3)/(1/9) = 6 days
Work done By B and C in first two days = 2*1/6 = 1/3
Rest of the work = 2/3
Number of days = (2/3)/(1/9) = 6 days
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Community Answer
The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of numb...
Given Information:
- The ratio of efficiency of Arun to Chitra is 5:3.
- The ratio of the number of days taken by Bala to Chitra is 2:3.
- Arun takes 6 days less than Chitra to complete the work individually.
- Bala and Chitra started the work and left after 2 days.
To Find:
The number of days taken by Arun to finish the remaining work.
Solution:
Let's assume that Chitra takes 'x' days to complete the entire work individually.
Therefore, Arun takes 'x - 6' days to complete the entire work individually.
Efficiency:
The ratio of efficiency of Arun to Chitra is 5:3.
Therefore, the efficiency ratio of Arun to Chitra is (5/3).
Work Done:
Since efficiency is directly proportional to work done, the work done ratio of Arun to Chitra is also (5/3).
So, the work done ratio of Arun to Chitra is (5/3).
Work done in 2 days:
Bala and Chitra started the work and left after 2 days.
Let's assume the total work to be 'W'.
Therefore, the work done by Bala and Chitra in 2 days is (2/5)W and (2/3)W respectively.
Remaining work:
The remaining work after 2 days is the difference between the total work and the work done in 2 days.
Therefore, the remaining work is:
W - [(2/5)W + (2/3)W] = W - (6/15)W = (9/15)W = (3/5)W
Time taken by Arun:
The remaining work is (3/5)W.
Arun takes 'x - 6' days to complete the entire work individually.
So, the number of days taken by Arun to finish the remaining work is:
[(3/5)W] / [(x - 6)/x] = [(3/5)W] * [x / (x - 6)] = (3/5) * W * (x / (x - 6))
Substituting the value of x:
From the given information, we know that Arun takes 6 days less than Chitra to complete the work individually.
So, x - (x - 6) = 6
Simplifying, we get:
x - x + 6 = 6
6 = 6
Therefore, we can substitute the value of x as 6 in the equation:
(3/5) * W * (x / (x - 6)) = (3/5) * W * (6 / (6 - 6)) = (3/5) * W * (6 / 0) = undefined
Conclusion:
The number of days taken by Arun to finish the remaining work is undefined.
- The ratio of efficiency of Arun to Chitra is 5:3.
- The ratio of the number of days taken by Bala to Chitra is 2:3.
- Arun takes 6 days less than Chitra to complete the work individually.
- Bala and Chitra started the work and left after 2 days.
To Find:
The number of days taken by Arun to finish the remaining work.
Solution:
Let's assume that Chitra takes 'x' days to complete the entire work individually.
Therefore, Arun takes 'x - 6' days to complete the entire work individually.
Efficiency:
The ratio of efficiency of Arun to Chitra is 5:3.
Therefore, the efficiency ratio of Arun to Chitra is (5/3).
Work Done:
Since efficiency is directly proportional to work done, the work done ratio of Arun to Chitra is also (5/3).
So, the work done ratio of Arun to Chitra is (5/3).
Work done in 2 days:
Bala and Chitra started the work and left after 2 days.
Let's assume the total work to be 'W'.
Therefore, the work done by Bala and Chitra in 2 days is (2/5)W and (2/3)W respectively.
Remaining work:
The remaining work after 2 days is the difference between the total work and the work done in 2 days.
Therefore, the remaining work is:
W - [(2/5)W + (2/3)W] = W - (6/15)W = (9/15)W = (3/5)W
Time taken by Arun:
The remaining work is (3/5)W.
Arun takes 'x - 6' days to complete the entire work individually.
So, the number of days taken by Arun to finish the remaining work is:
[(3/5)W] / [(x - 6)/x] = [(3/5)W] * [x / (x - 6)] = (3/5) * W * (x / (x - 6))
Substituting the value of x:
From the given information, we know that Arun takes 6 days less than Chitra to complete the work individually.
So, x - (x - 6) = 6
Simplifying, we get:
x - x + 6 = 6
6 = 6
Therefore, we can substitute the value of x as 6 in the equation:
(3/5) * W * (x / (x - 6)) = (3/5) * W * (6 / (6 - 6)) = (3/5) * W * (6 / 0) = undefined
Conclusion:
The number of days taken by Arun to finish the remaining work is undefined.
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The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect 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 The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect 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 The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect 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 The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect 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 The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The ratio of efficiency of Arun is to Chitra is 5:3. The ratio of number of days taken by Bala is to Chitra is 2:3. Arun takes 6 days less than Chitra, when Arun and Chitra complete the work individually. Bala and Chitra started the work and left after 2 days. The number of days taken by Arun to finish the remaining work is?a)4 daysb)5 daysc)6 daysd)9 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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