Question

When building a house, the number of days required to build is inversely proportional to the number of workers. One house was built in 26 days by 23 workers. How many days would it take to build a similar house with 46 workers?

Answer 1

If the number of days required to build a house is inversely proportional to the number of workers, it would take 13 days to build a similar house with 46 workers.

Step-by-step explanation:

Let d be the number of days and w be the number of workers.

The inverse relationship is represented by the equation dw = k, where k is a constant.

Using the information for the first house: 26 times 23 = k.

Now, use the constant k to find the number of days (d') for the second house with 46 workers: d' times 46 = k.

Solve for d': d' = k/46 = (26 times 23)/46 = 13.

Therefore, it would take 13 days to build a similar house with 46 workers.