Question

Three bricklayers, Maric, Hugh and Ethan, are cladding a new home. If Maric were to work
alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would
take him 6 days to complete and if Ethan were to work by himself, the job would take him
12 days to complete. If the three men work together, how long will it take them to complete the job?

Answer 1

Maric's rate = job/8
Hugh's rate = job/6
Ethan's rate = job/12
combined rates = job/8 + job/6 + job/12 = (9/24)job = 9job/24

time to do 1 job = job/( 9job/24 ) = 24/9 = 8/3
it would take 8/3 days