1. The problem asks: "It takes Jacob 24 minutes to eat a bucket of ice cream, and Alisha 36 minutes to eat the same amount. If they have 5 buckets to share, how long will it take them to finish eating all the ice cream if they eat at the same rate as usual?" 2. First, find the rate at which each person eats ice cream in buckets per minute. Jacob's rate: $$\frac{1 \text{ bucket}}{24 \text{ minutes}} = \frac{1}{24}$$ buckets per minute. Alisha's rate: $$\frac{1 \text{ bucket}}{36 \text{ minutes}} = \frac{1}{36}$$ buckets per minute. 3. When working together, their combined rate is the sum of their individual rates: $$\frac{1}{24} + \frac{1}{36}$$ 4. Find a common denominator to add the fractions: The least common denominator of 24 and 36 is 72. $$\frac{1}{24} = \frac{3}{72}, \quad \frac{1}{36} = \frac{2}{72}$$ So combined rate: $$\frac{3}{72} + \frac{2}{72} = \frac{5}{72}$$ buckets per minute. 5. They need to eat 5 buckets total. Time taken is total buckets divided by combined rate: $$\text{Time} = \frac{5}{\frac{5}{72}} = 5 \times \frac{72}{5}$$ 6. Cancel the 5 in numerator and denominator: $$5 \times \frac{\cancel{72}}{\cancel{5}} = 72$$ minutes. 7. Therefore, it will take them 72 minutes to finish eating all 5 buckets of ice cream together. **Final answer:** 72 minutes