Question

when building a house, the number of days required to build is inversely proportional with the number of workers. one house was built in 133 days by 4 workers. how many days would it take yo build a similar house with 28 workers?

Answer 1

28 workers will build the house in 19 days.

Explanation:

Inverse proportion:

x*y = k

Where x is the number of workers and y is the number of days

Number of workers Number of days

4 133

28 ? d

When x = 4 and y = 133

k = 4 * 133

Let the number of days to build the house by 28 workers be 'd'.

`d = (k)/(28)\\\\\\d =(133*4)/(28)\\\\\\d = 19 \ days`