Respuesta :
Answer:
It would take 25 minutes for Patrick to complete the project alone.
Step-by-step explanation:
They did the project in 20 minutes, that is, 100% of the project, so:
[tex]x + y = 1[/tex]
In which x is the percentage that Patrick worked and y is the percentage that Stewart worked.
Patrick works four times as quickly as Stewart, so x = 4y.
So
[tex]x + y = 1[/tex]
[tex]4y + y = 1[/tex]
[tex]5y = 1[/tex]
[tex]y = 0.2[/tex]
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[tex]x = 4y = 4*0.2 = 0.8[/tex]
Patrick did 80% of the project in 20 minutes. We can solve this problem by a simple rule of three, in which the time it would take for him to complete the project alone is 100%. So
20 minutes - 0.8
x minutes - 1
[tex]0.8x = 20[/tex]
[tex]x = 25[/tex]
It would take 25 minutes for Patrick to complete the project alone.
