Maria can complete a project in 8 days working alone, while Pedro can complete it in 12 days working alone. How many days will it take you to finish the project if you work together?

To find out how long it will take you to finish the project when working together with Maria and Pedro, you can use the concept of their individual work rates. Let M represent Maria's work rate (projects per day) and P represent Pedro's work rate (projects per day). Maria can complete 1 project in 8 days, so her work rate (M) is: M = 1 project / 8 days = 1/8 projects per day Pedro can complete 1 project in 12 days, so his work rate (P) is: P = 1 project / 12 days = 1/12 projects per day When you work together, your combined work rate (C) is the sum of Maria's and Pedro's work rates: C = M + P C = (1/8) + (1/12) To add these fractions, you need a common denominator, which is 24: C = (3/24) + (2/24) C = 5/24 projects per day Now, to find out how long it will take you to finish the project when working together, you can use the formula: Time = Total Work / Combined Work Rate Time = 1 project / (5/24 projects per day) Now, divide 1 project by 5/24 projects per day: Time = (1 project) / (5/24 projects per day) Time = (1 project) * (24/5 projects per day) Time = 24/5 days So, it will take you approximately 4.8 days to finish the project when working together with Maria and Pedro.