Question

20 builders working 8 hours a day can finish a building in 30 days. a) How many builders would have to work to finish the building in 20 days if they worked for 10 hours a day? b) State one assumption you made to answer part a).​

Answer 1

You would need 24 workers

I am assuming a constant rate

Explanation:

Rate x builders x hours x days = 1 job

Rate: 1 job can be done with 20 builders x 8 hours x 30 days

`(1)/((20)(8)(30))`

`(1)/((20)(8)(30))` x builders x 10 hours x 20 days = 1 job

`(b(10)(20))/((20)(8)(30))` = 1

`(b)/(24)` = 1 Multiple both sides by 24

b = 24

You will need 24 builders.