Question

A robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete an hour?

Answer 1

Answer:

Robot will take $\frac{3}{80}$ hour to complete each task.

The robot can complete $26\frac{2}{3}$ tasks in one hour.

Step-by-step explanation:

We have been given that a robot can complete 8 tasks in 3/10 hour. Each task takes the same amount of time.

To find the time taken by robot to complete each task we will divide total time taken to complete 8 tasks by 8 as:

$\text{Time taken by robot to complete each task}=\frac{3}{10}\div 8$  

$\text{Time taken by robot to complete each task}=\frac{3}{10}\div \frac{8}{1}$

Now we will convert division problem into multiplication problem by flipping the 2nd fraction.

$\text{Time taken by robot to complete each task}=\frac{3}{10}\times \frac{1}{8}$

$\text{Time taken by robot to complete each task}=\frac{3}{80}$

Therefore, robot will take $\frac{3}{80}$ hour to complete each task.

To find tasks completed by robot in one hour we will use proportions.

$\frac{x}{1\text{ hour}}=\frac{8}{\frac{3}{10}}$

$\frac{x}{1}=\frac{80}{3}$

$x=\frac{80}{3}$

$x=26\frac{2}{3}$

Therefore, the robot can complete $26\frac{2}{3}$ tasks in one hour.