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

Robot will take
`(3)/(80)` hour to complete each task.

The robot can complete
`26(2)/(3)` tasks in one hour.

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}=(3)/(10)/ 8`

`\text{Time taken by robot to complete each task}=(3)/(10)/ (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}=(3)/(10)* (1)/(8)`

`\text{Time taken by robot to complete each task}=(3)/(80)`

Therefore, robot will take
`(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}}=(8)/((3)/(10))`

`(x)/(1)=(80)/(3)`

`x=(80)/(3)`

`x=26(2)/(3)`

Therefore, the robot can complete
`26(2)/(3)` tasks in one hour.