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?

Relax

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