Respuesta :
A) one task takes [tex]\frac{3}{40}[/tex] hours
B) 1 hour robot can do [tex]\frac{40}{3}[/tex] tasks.
Solution:
Given, A robot can complete 8 tasks in three fifths hour.
Each task takes the same amount of time.
We have to find the following
A.)How long does it take the robot to complete one task
From given information,
8 tasks ⇒ 3/5 hour
Then, 1 task ⇒ “n” hours
So, by chris cross method,
[tex]\begin{array}{l}{n \times 8=1 \times \frac{3}{5}} \\\\ {\rightarrow 8 n=\frac{3}{5}} \\\\ {\rightarrow n=\frac{3}{5 \times 8}} \\\\ {\rightarrow n=\frac{3}{40} \text { hours }}\end{array}[/tex]
So, one task takes [tex]\frac{3}{40}[/tex] hours.
B.)How many tasks can the robot complete in one hour
[tex]\text { number of tasks done in } 1 \text { hour }=\frac{1 \text { hour }}{\text { time taken by } 1 \text { task }}=\frac{1}{\frac{3}{40}}=\frac{40}{3}[/tex]
So, in 1 hour robot can do in [tex]\frac{40}{3}[/tex] tasks.
