Question

A robot can complete 8 tasks in three fifths hour. Each task takes the same amount of time. A. How long does it take the robot to complete one​ task? B. How many tasks can the robot complete in one​ hour?

Answer 1

A) one task takes $\frac{3}{40}$ hours

B) 1 hour robot can do $\frac{40}{3}$ 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,

$\begin{array}{l}{n \times 8=1 \times \frac{3}{5}} \\\\ {\rightarrow 8 n=\frac{3}{5}} \\\\ {\rightarrow n=\frac{3}{5 \times 8}} \\\\ {\rightarrow n=\frac{3}{40} \text { hours }}\end{array}$

So, one task takes $\frac{3}{40}$ hours.

B.)How many tasks can the robot complete in one hour

$\text { number of tasks done in } 1 \text { hour }=\frac{1 \text { hour }}{\text { time taken by } 1 \text { task }}=\frac{1}{\frac{3}{40}}=\frac{40}{3}$

So, in 1 hour robot can do in $\frac{40}{3}$ tasks.