Sandi can build a model Starship Enterpise in10 days and Eva can make the same Starshipin 6 days. In how many days can they builda model Starship by working together?
Accepted Solution
A:
They can build the model Star-ship by working together in 3.75 daysStep-by-step explanation:The given is:Sandi can build a model Star-ship Enterprise in 10 daysEva can make the same Star-ship in 6 daysWe need to find in how many days they can build a model Star-ship by working together∵ Sandi can build it in 10 days∴ The rate of Sandi = [tex]\frac{1}{10}[/tex]∵ Eva can build it in 6 days∴ The rate of Eva = [tex]\frac{1}{6}[/tex]Assume that they can build it together in d days∵ Work = rate × time∵ The rate of Sandi is [tex]\frac{1}{10}[/tex]∵ The rate of Eva is [tex]\frac{1}{6}[/tex]∵ They build it together in d days∴ Sandi can build [tex]\frac{1}{10}d[/tex] of the model∴ Eva can build [tex]\frac{1}{6}d[/tex] of the model- The sum of their work equal the model∴ [tex]\frac{1}{10}d+\frac{1}{6}d=1[/tex]- Add the fractions∴ [tex]\frac{6}{60}d+\frac{10}{60}d=1[/tex]∴ [tex]\frac{16}{60}d=1[/tex]- Multiply both sides by 60∴ 16 d = 60- divide both sides by 16∴ d = 3.75 daysThey can build the model Star-ship by working together in 3.75 daysLearn more:You can learn more about the rate in brainly.com/question/13053630#LearnwithBrainly