Working alone ryan can dig a 10ft by 10ft hole in five hours. castel can dig the same hole in six hours how long would it take them to dig the hole if they worked together

Ryan rate = 1/5 job/hr
Castel rate = 1/6 job/hr
Together rate = 1/x job/hr

Equation:

1/5 + 1/6 = 1/x
6x + 5x = 30
11x = 30

x = 2 8/11 hr = 2 hr (8/11)60 = 2hr 47 minutes (time to do the job together)

A= the square root of 3“if letters are anything like people, they’re all equal and deserve to be treated equally.”