This problem is an example of inverse variation, where the product of two variables is a constant. In this case, the number of days (d) required to build a house and the number of workers (w) are inversely proportional. This relationship can be expressed as:

d * w = k

where k is the constant of variation.

Step 1: Find the constant of variation (k)
We know that one house was built in 119 days by 3 workers. We can substitute these values into the equation to find k:

119 * 3 = k
k = 357

Step 2: Find the number of days it would take to build a similar house with 17 workers
Now that we know the constant of variation, we can substitute this value and the number of workers into the equation to find the number of days:

d * 17 = 357
d = 357 / 17
d = 21

So, it would take 21 days to build a similar house with 17 workers.

Question

This problem is an example of inverse variation, where the product of two variables is a constant. In this case, the number of days (d) required to build a house and the number of workers (w) are inversely proportional. This relationship can be expressed as:

d * w = k

where k is the constant of variation.

Step 1: Find the constant of variation (k)
We know that one house was built in 119 days by 3 workers. We can substitute these values into the equation to find k:

119 * 3 = k
k = 357

Step 2: Find the number of days it would take to build a similar house with 17 workers
Now that we know the constant of variation, we can substitute this value and the number of workers into the equation to find the number of days:

d * 17 = 357
d = 357 / 17
d = 21

So, it would take 21 days to build a similar house with 17 workers.

Knowee AI · Accepted Answer

This problem is an example of inverse variation, where the product of two variables is a constant. In this case, the number of days (d) required to build a house and the number of workers (w) are inversely proportional. This relationship can be expressed as:

d * w = k

where k is the constant of variation.

Step 1: Find the constant of variation (k)
We know that one house was built in 119 days by 3 workers. We can substitute these values into the equation to find k:

119 * 3 = k
k = 357

Step 2: Find the number of days it would take to build a similar house with 17 workers
Now that we know the constant of variation, we can substitute this value and the number of workers into the equation to find the number of days:

d * 17 = 357
d = 357 / 17
d = 21

So, it would take 21 days to build a similar house with 17 workers.

When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 119 days by 3 workers. How many days would it take to build a similar house with 17 workers?

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