Question

To complete a task In 16 days a company needs 5 people 6 hours a day. How long will it take 8 people 4 hours a day, assuming they work at the same rate

Answer 1

8 people working 4 hours a day will take 15 days to complete the work.

Step-by-step explanation:

The problem can be  solved using chain rule

no of people      no of hours    no of days

       5                          6                    16

       8                           4                     ?

number of days decreases when the number of people increases from 5 to 8. The decrease of number of hours from 6 to 4 increases the number of days taken for the work to get completed.

$no\ of\ days\ taken\ when\ 8\ people\ work\ 4\ hours\ a\ day=16\times 6/4\times5/8\\=480/32=15$

8 people working 4 hours a day will take 15  days to complete the work.