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. (1 point) Responses 7.00 hours 7.00 hours 3.43 hours 3.43 hours 0.29 hours 0.29 hours 14.00 hours
To find out how long it will take them to bake the cookies together, we can use the formula:
1 / (1/6 + 1/8) = 1 / (4/24 + 3/24) = 1 / (7/24) = 24/7 ≈ 3.43.
So it will take them approximately 3.43 hours to bake the cookies together.