Three bricklayers, Maric, Hugh and Ethan, are cladding a new home. If Maric were to work

Question

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. What fraction of the house will each bricklayer complete.

Answer 1

To find the fraction of the house completed by each bricklayer, we need to compare the amount of work done by each bricklayer when they work alone.

Maric can complete the job in 8 days, so in 1 day he completes 1/8th of the job.

Hugh can complete the job in 6 days, so in 1 day he completes 1/6th of the job.

Ethan can complete the job in 12 days, so in 1 day he completes 1/12th of the job.

To find the fraction of the job completed by each bricklayer, we can add up their daily rates:

Maric: 1/8
Hugh: 1/6
Ethan: 1/12

Adding the fractions, we have:
1/8 + 1/6 + 1/12 = 3/24 + 4/24 + 2/24 = 9/24 = 3/8

Therefore, each bricklayer completes 3/8ths of the house.