a robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.
how long does it take the robot the complete one task?
how many tasks can the robot complete in one hour?

Respuesta :

[tex] \bf \begin{array}{ccll}
tasks&hours\\
\cline{1-2}&\\
8&\frac{5}{6}\\\\
1&h
\end{array}\implies \cfrac{8}{1}=\cfrac{~~\frac{5}{6}~~}{h}\implies 8=\cfrac{~~\frac{5}{6}~~}{\frac{h}{1}}\implies 8=\cfrac{5}{6}\cdot \cfrac{1}{h}
\\\\\\
8=\cfrac{5}{6h}\implies 48h=5\implies h=\cfrac{5}{48}\\\\[-0.35em]
\rule{31em}{0.25pt} [/tex]


[tex] \bf \begin{array}{ccll}
tasks&hours\\
\cline{1-2}&\\
8&\frac{5}{6}\\\\
t&1
\end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t
\\\\\\
\cfrac{48}{5}=t\implies 9\frac{3}{5}=t [/tex]

Answer:

5/48

Step-by-step explanation:

bruh moment