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 hundreth if necessary

Answer 1

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

1 / (time it takes Rosanne alone) + 1 / (time it takes Dorothy alone) = 1 / x

1 / 6 + 1 / 8 = 1 / x
(8 + 6) / 48 = 1 / x
14 / 48 = 1 / x
x = 48 / 14
x ≈ 3.43 hours

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