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Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?
- a)40
- b)60
- c)100
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5...
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Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5...
Given data:
- Alok, Mithilesh, and Bimlesh started a work
- After completing 1/5th of the work Bimlesh left
- Alok and Mithilesh then worked for 20 days
- Bimlesh completed the remaining portion of the work in 12 days
- Bimlesh takes 40 days to complete the work
To find:
In how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work are the same.
Approach:
Let the total work be denoted by 'W'.
Let the efficiency of Alok, Mithilesh, and Bimlesh be denoted by 'a', 'm', and 'b' respectively.
According to the given data:
- After completing 1/5th of the work, Bimlesh left, so the remaining work is 4/5th of W.
- Alok and Mithilesh worked for 20 days, so their total work done in 20 days is (20 * (a+m)).
- Bimlesh completed the remaining 4/5th of the work in 12 days, so his work done in 12 days is (4/5 * W).
- Bimlesh takes 40 days to complete the entire work, so his work done in 40 days is W.
Using the above data, we can form equations and solve for 'a' and 'm' to find the time taken by each of them to complete the work.
Calculation:
- After completing 1/5th of the work, Bimlesh left, so the remaining work is 4/5th of W.
- Alok and Mithilesh worked for 20 days, so their total work done in 20 days is (20 * (a+m)).
- Bimlesh completed the remaining 4/5th of the work in 12 days, so his work done in 12 days is (4/5 * W).
- Bimlesh takes 40 days to complete the entire work, so his work done in 40 days is W.
Using the above data, we can form equations and solve for 'a' and 'm' to find the time taken by each of them to complete the work.
Equations:
1. (1/5 * W) + (4/5 * W) = W (Total work done by Bimlesh)
2. (20 * (a+m)) + (4/5 * W) = W (Total work done by Alok, Mithilesh, and Bimlesh)
3. (40 * b) = W (Total work done by Bimlesh)
Solving these equations, we get:
a+m = (3/100) * W
b = (1/40) * W
Since the efficiencies of Alok, Mithilesh, and Bimlesh are the same, we can assume that 'a' = 'm' = 'x'.
So, from equation 1:
b = (4/5) * W
=> (1/40) * W = (4/5) * W
=> 1/40 = 4/5
This is not possible, hence the answer is 'None of these'.
Therefore, the correct answer is option 'D'.
- Alok, Mithilesh, and Bimlesh started a work
- After completing 1/5th of the work Bimlesh left
- Alok and Mithilesh then worked for 20 days
- Bimlesh completed the remaining portion of the work in 12 days
- Bimlesh takes 40 days to complete the work
To find:
In how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work are the same.
Approach:
Let the total work be denoted by 'W'.
Let the efficiency of Alok, Mithilesh, and Bimlesh be denoted by 'a', 'm', and 'b' respectively.
According to the given data:
- After completing 1/5th of the work, Bimlesh left, so the remaining work is 4/5th of W.
- Alok and Mithilesh worked for 20 days, so their total work done in 20 days is (20 * (a+m)).
- Bimlesh completed the remaining 4/5th of the work in 12 days, so his work done in 12 days is (4/5 * W).
- Bimlesh takes 40 days to complete the entire work, so his work done in 40 days is W.
Using the above data, we can form equations and solve for 'a' and 'm' to find the time taken by each of them to complete the work.
Calculation:
- After completing 1/5th of the work, Bimlesh left, so the remaining work is 4/5th of W.
- Alok and Mithilesh worked for 20 days, so their total work done in 20 days is (20 * (a+m)).
- Bimlesh completed the remaining 4/5th of the work in 12 days, so his work done in 12 days is (4/5 * W).
- Bimlesh takes 40 days to complete the entire work, so his work done in 40 days is W.
Using the above data, we can form equations and solve for 'a' and 'm' to find the time taken by each of them to complete the work.
Equations:
1. (1/5 * W) + (4/5 * W) = W (Total work done by Bimlesh)
2. (20 * (a+m)) + (4/5 * W) = W (Total work done by Alok, Mithilesh, and Bimlesh)
3. (40 * b) = W (Total work done by Bimlesh)
Solving these equations, we get:
a+m = (3/100) * W
b = (1/40) * W
Since the efficiencies of Alok, Mithilesh, and Bimlesh are the same, we can assume that 'a' = 'm' = 'x'.
So, from equation 1:
b = (4/5) * W
=> (1/40) * W = (4/5) * W
=> 1/40 = 4/5
This is not possible, hence the answer is 'None of these'.
Therefore, the correct answer is option 'D'.
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Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alok, Mithilesh, and Bimlesh started a work and after completing 1 / 5th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same?a)40b)60c)100d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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