Problema Solution

The time to complete a project is inversely proportional to number of people who are doing the project. A certain project can be completed by 5 workers in 24 days. In order to finish the project sooner, the company plans to hire additional workers. How many workers are needed to finish the project in 15 days?

Answer provided by our tutors

let x = the number of additional workers to be hired


the number of workers after hiring the additional worker will be: 5 + x


since the time to complete a project is inversely proportional to number of people who are doing the project we have:


5*24 = (5 + x)*15


by solving we find:


x = 3 workers


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3 additional workers are needed to finish the project is 15 days.