It takes 20 days for 30 employees to finish an assignment. To complete the assignment in 10 days, how many additional employees are needed if each new employee is only half as productive as the original group?

Thank you for the opportunity to help you with your question!

Since the new employee is only half as productive as the original group it would take 60 new employees to finish an assignment in 20 days, or 120 new employees to finish in 10 days since the number of days is inversely proportional to the number of employees.

But the original 30 can complete HALF the assignment in 10 days. That means the new employees have to do the other half to complete the assignment. Since 120 new employees can finish a whole assignment in 10 days, then 60 new employees would be need to finish the remaining half in 10 days.

Please let me know if you need any clarification. I'm always happy to answer your questions.