High School

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Wilma can mow a lawn in 80 minutes, and Rocky can mow the same lawn in 120 minutes. Construct an equation to determine how long it would take them to mow 2 lawns if they worked together. Use [tex]t[/tex] to represent the number of minutes they work together.

Equation:

\[
\left(\frac{1}{80} + \frac{1}{120}\right) t = 2
\]

Answer :

Answer:

[tex]t = 96 minutes[/tex]

Explanation:

Time to mow 1 lawn by Wilma is 80 minutes

so work done in 1 minute by Wilma is given as

[tex]W_1 = \frac{1}{80}[/tex]

Similarly Rocky mow same lawn in 120 minute

so work done in 1 minute by Rocky is given as

[tex]W_2 = \frac{1}{120}[/tex]

now we know that they both worked by "t" time

so total work performed by them

[tex]W = \frac{t}{80} + \frac{t}{120}[/tex]

they both mow 2 lawns then it is given as

[tex]2 = (\frac{1}{80} + \frac{1}{120})t[/tex]

[tex]t = 96 minutes[/tex]

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