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For this case, the first thing we are going to do is define variables.
We have then:
x: number of hours it takes Homer to finish work alone.
They worked together for 3 hours until Homer had to go home:
Mike finished the job working by himself in an additional 5 hours:
From here, we must clear the value of x.
We then have to multiply both sides by x (x-1):
Rewriting we have:
The solutions to the equation are:
Answer:
it has taken Homer to fix the deck himself about:
x2 = 11.75 hours
We have then:
x: number of hours it takes Homer to finish work alone.
They worked together for 3 hours until Homer had to go home:
Mike finished the job working by himself in an additional 5 hours:
From here, we must clear the value of x.
We then have to multiply both sides by x (x-1):
Rewriting we have:
The solutions to the equation are:
Answer:
it has taken Homer to fix the deck himself about:
x2 = 11.75 hours