Question

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 55 days by 8 workers. How many days would it take to build a similar house with 40 workers?

Answer 1

See below

Explanation:

We can make a the number of days and y the number of workers

Since we were told there is an inverse relationship between the days required to build the house and the number of workers required, then,

The equation would be

y = k/x

Here, y is inversely proportional to x and k is the constant proportionality

So, out required equation would be

a = k/n

Fixing the values, we'll have

55 = k/8

k = 55 × 8

k = 440

The number of days required to build a similar house with 5 workers will now be

= 440/5

= 88 days