Question

A robot can complete 10 tasks in hour. Answer in fraction form.How many tasks can the robot complete in 1 hour?How long does it take the robot to complete one task?hoursIf you have a mixed number put a space between the whole number and fraction. Ex 7=7 1/2tasks

Answer 1

Hello!

We know that the robot can complete 10 tasks in 3/4 hour.

To solve this exercise, we can use the rule of three, look:

How many tasks can the robot complete in 1 hour?

`\frac{(3)/(4)h\rightarrow10\text{ tasks}}{1h\rightarrow x\text{ tasks}}`

So, we have:

`\begin{gathered} (3)/(4)x=10 \\ \\ x=(10)/(1)/(3)/(4)\rightarrow(10)/(1)*(4)/(3)=(40)/(3) \\ \\ \end{gathered}`

Let's write it as a mixed number:

Answer:

`13\text{ }(1)/(3)\text{ tasks}`

How long does it take the robot to complete one task?

We'll solve it in a similar way, look:

`\begin{gathered} 10x=(3)/(4) \\ \\ x=(3)/(4)/(10)/(1)\rightarrow(3)/(4)*(1)/(10)=(3)/(40)\text{ hours} \end{gathered}`

Answer:

`(3)/(40)\text{ hours}`