They can build the model Star-ship by working together in 3.75 days
Step-by-step explanation:
The given is:
We 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 days
They can build the model Star-ship by working together in 3.75 days
Learn more:
You can learn more about the rate in brainly.com/question/13053630
#LearnwithBrainly
