To find: The time taken by Karen to paint the house alone.
The time taken by Karen to paint the house is 3 hour.
Betty takes 6 hour to paint the house and if they work together than they take two-thirds the time taken by Karen.
Let the time taken by Karen to paint the house be x.
Tabulate the given information into the language of algebra.
|In words||In Algebra|
|Time taken by Karen||x hr|
|Time taken by Betty||6 hr|
|Time taken by both|
|Work done by Karen|
|Work done by Betty|
|Work done by Karen and Betty|
Model the equation for the above information.
Simplify the above equation for x,
Thus, the time taken by Karen to paint the house is 3 hour.
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