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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

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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.
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