Answered

2. Christine can bake cookies for a school bake sale to
raise money for the school's soccer team in 9 hours. If
her friend, Emily, on the soccer team helps her, it only
takes 4 hours. How long would it take Emily to bake the
cookies alone?

Answer :

Answer:

the time taken by Emily to bake the cookies alone is 7.2 hours

Step-by-step explanation:

The time taken by Emily to bake the cookies alone is shown below:

Given that

Christine can bake cookies in 9 hours

And, if her friend Emily is also helps her so it only takes 4 hours to bake the cookies

Now based on the above information

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{4} \\\\\frac{1}{x}= \frac{1}{4} - \frac{1}{9} \\\\\frac{1}{x}= \frac{9 - 4}{36} \\\\\frac{1}{x}= \frac{5}{36} \\\\x = \frac{36}{5}\\\\= 7.2 hours[/tex]

Hence, the time taken by Emily to bake the cookies alone is 7.2 hours

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