For this case, the first thing we must do is define a variable.
We have then:
x: number of hours that jena has to mow the lawn alone.
We now write the equation that models the problem.
We have then:
[tex] \frac{1}{x} +\frac{1}{4x} =\frac{1}{4} [/tex]
From here, we clear the value of x.
We have then:
[tex] \frac{4x}{x} +\frac{4x}{4x} =\frac{4x}{4} [/tex]
[tex] 4 + 1 = x [/tex]
[tex] x=5 [/tex]
Answer:
it takes jena 5 hours to mow the lawn alone
