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A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?
- a)20
- b)34
- c)40
- d)45
- e)52
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A house is built by 20 workers in 30 days. How many workers will be ne...
- As stated in the question, the work needs to be completed in half the days as compared to the earlier timeline for completion.
- Therefore, the number the workers needs to be doubled.
Hence, Correct Answer is Option C
You can learn all the concepts of Quantitative Aptitude for GMAT by going through the course:
Hence, Correct Answer is Option C
You can learn all the concepts of Quantitative Aptitude for GMAT by going through the course:
Most Upvoted Answer
A house is built by 20 workers in 30 days. How many workers will be ne...
Given information:
- A house is built by 20 workers in 30 days.
To find:
- How many workers will be needed to complete the work in 15 days.
Solution:
- Let's assume that building a house is equivalent to 1 unit of work.
- So, 20 workers can complete 1 unit of work in 30 days.
- To complete the same 1 unit of work in half the time (15 days), we need more workers.
- Let's assume that x workers will be needed to complete the work in 15 days.
- We can use the formula:
(Number of workers) x (Time taken) = Work done
- So, we can write:
20 x 30 = 1 (Equation 1 - Work done by 20 workers in 30 days)
x x 15 = 1 (Equation 2 - Work done by x workers in 15 days)
- We can solve Equation 2 for x:
x x 15 = 1
x = 1/15
- Now, we can substitute this value of x in Equation 1 to find the number of workers needed:
20 x 30 = 1
x = 1/(15/20) = 1/(3/4) = 4/3
- So, the number of workers needed to complete the work in 15 days is 4/3 times the original number of workers.
- We can round this up to the nearest integer, which is 4.
- Therefore, the answer is option (c) 40.
Final answer:
- The number of workers needed to complete the work in 15 days is 40.
- A house is built by 20 workers in 30 days.
To find:
- How many workers will be needed to complete the work in 15 days.
Solution:
- Let's assume that building a house is equivalent to 1 unit of work.
- So, 20 workers can complete 1 unit of work in 30 days.
- To complete the same 1 unit of work in half the time (15 days), we need more workers.
- Let's assume that x workers will be needed to complete the work in 15 days.
- We can use the formula:
(Number of workers) x (Time taken) = Work done
- So, we can write:
20 x 30 = 1 (Equation 1 - Work done by 20 workers in 30 days)
x x 15 = 1 (Equation 2 - Work done by x workers in 15 days)
- We can solve Equation 2 for x:
x x 15 = 1
x = 1/15
- Now, we can substitute this value of x in Equation 1 to find the number of workers needed:
20 x 30 = 1
x = 1/(15/20) = 1/(3/4) = 4/3
- So, the number of workers needed to complete the work in 15 days is 4/3 times the original number of workers.
- We can round this up to the nearest integer, which is 4.
- Therefore, the answer is option (c) 40.
Final answer:
- The number of workers needed to complete the work in 15 days is 40.
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A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer?.
A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?a)20b)34c)40d)45e)52Correct answer is option 'C'. Can you explain this answer?.
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