Question

Derrick is building a treehouse for his younger brother. The treehouse will take 85 1/4 hours to complete. Derrick spends 17 1/20 hours on it each weekend. If he has already worked on it for 3 weeks, how many more weeks will he need to work on it until it is complete?

Please provide a step by step answer if you can :'(

Answer 1

2 more weeks

Explanation:

First, determine how many weekends will be required for Derrick to complete the treehouse:

85 1/4 hours total 85.25 hrs

---------------------------- = --------------------- = 5 weeks

17 1/20 hrs/wk 17.05 hrs/ wk

Derrick has already worked 3 weeks, and so he should be able to complete the treehouse in 2 more weeks (2 + 3 = 5).