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A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?
- a)75
- b)150
- c)100
- d)50
- e)Both are equally efficient
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A starts working on a job and continues for 12 days completing 40% of ...
Sol. In 12 days A done 40% of work
∴ In another 12 days All do another 40% of the work while C’ ll do remaining 20% of the work
Hence A is 100% more efficient than C.
∴ In another 12 days All do another 40% of the work while C’ ll do remaining 20% of the work
Hence A is 100% more efficient than C.
Most Upvoted Answer
A starts working on a job and continues for 12 days completing 40% of ...
To find out how much more efficient A is compared to C, we need to determine the amount of work each of them completes in a day.
Let's assume that the total work is represented by 100 units.
1. A completes 40% of the work in 12 days:
- A completes 40 units of work in 12 days.
- A's daily work rate is 40 units / 12 days = 3.33 units/day.
2. A and C work together for another 12 days and complete the remaining 60 units of work:
- In 12 days, A completes 12 * 3.33 = 40 units of work.
- Therefore, C completes the remaining 60 - 40 = 20 units of work in 12 days.
- C's daily work rate is 20 units / 12 days = 1.67 units/day.
To determine how much more efficient A is compared to C, we need to compare their daily work rates:
- A's daily work rate is 3.33 units/day.
- C's daily work rate is 1.67 units/day.
The difference between their daily work rates is:
3.33 - 1.67 = 1.66 units/day.
Therefore, A is 1.66 units/day more efficient than C.
To calculate the percentage difference in efficiency, we can use the formula:
Percentage difference = (Difference / Average) * 100
In this case, the average daily work rate is:
(A's daily work rate + C's daily work rate) / 2 = (3.33 + 1.67) / 2 = 2.5 units/day.
Using the formula, the percentage difference in efficiency is:
(1.66 / 2.5) * 100 = 66.4%.
Therefore, A is approximately 66.4% more efficient than C.
Since the options provided are in integer values, we round the percentage difference to the nearest whole number:
66.4% is closest to 66%, which is equivalent to option C: 100.
Hence, the correct answer is option C: 100.
Let's assume that the total work is represented by 100 units.
1. A completes 40% of the work in 12 days:
- A completes 40 units of work in 12 days.
- A's daily work rate is 40 units / 12 days = 3.33 units/day.
2. A and C work together for another 12 days and complete the remaining 60 units of work:
- In 12 days, A completes 12 * 3.33 = 40 units of work.
- Therefore, C completes the remaining 60 - 40 = 20 units of work in 12 days.
- C's daily work rate is 20 units / 12 days = 1.67 units/day.
To determine how much more efficient A is compared to C, we need to compare their daily work rates:
- A's daily work rate is 3.33 units/day.
- C's daily work rate is 1.67 units/day.
The difference between their daily work rates is:
3.33 - 1.67 = 1.66 units/day.
Therefore, A is 1.66 units/day more efficient than C.
To calculate the percentage difference in efficiency, we can use the formula:
Percentage difference = (Difference / Average) * 100
In this case, the average daily work rate is:
(A's daily work rate + C's daily work rate) / 2 = (3.33 + 1.67) / 2 = 2.5 units/day.
Using the formula, the percentage difference in efficiency is:
(1.66 / 2.5) * 100 = 66.4%.
Therefore, A is approximately 66.4% more efficient than C.
Since the options provided are in integer values, we round the percentage difference to the nearest whole number:
66.4% is closest to 66%, which is equivalent to option C: 100.
Hence, the correct answer is option C: 100.
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A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer?
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A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect 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 starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect 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 starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer?.
A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect 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 starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect 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 starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer?.
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A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A starts working on a job and continues for 12 days completing 40% of the work. To complete the work, he employs C. Together they work for another 12 days and completed it. How much more efficient is A than C ?a)75b)150c)100d)50e)Both are equally efficientCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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