Question

When building a house, the number of days required to build is inversely proportional to with the number of workers. One house was built in 10 days by 44 workers. How many days would it take to build a similar house with 5 workers?

Answer 1

88 days

Explanation:

inversely proportional means for a response y and input x, we have the formula

y = k/x

10 days = k/44 workers

multiply both sides by 44 to find k

44 workers * 10 days = k

k = 440 workers * days

y = k/x

x = 5 workers

440 workers * days / 5 workers = y

88 days = y