Dorothy and Rosanne are baking cookies for a party. Working alone, Rosanne can finish the cookies in 6 hours. Dorothy can finish them in 8 hours if she is working alone. How long will it take them to bake the cookies if they are working together? Round your answer to the nearest hundredth if necessary.

Answer 1

To find out how long it will take them to bake the cookies together, we can use the formula:

\[\frac{1}{x} = \frac{1}{6} + \frac{1}{8}\]

Where:
- x is the time it takes them to bake the cookies together

Solving for x:

\[\frac{1}{x} = \frac{1}{6} + \frac{1}{8}\]
\[\frac{1}{x} = \frac{4}{24} + \frac{3}{24}\]
\[\frac{1}{x} = \frac{7}{24}\]
\[x = \frac{24}{7}\]
\[x \approx 3.43\]

Therefore, it will take Dorothy and Rosanne approximately 3.43 hours to bake the cookies if they are working together.