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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

A Robot Can Complete 10 Tasks In Hour Answer In Fraction FormHow Many Tasks Can The Robot Complete In 1 HourHow Long Does It Take The Robot To Complete One Task class=

Sagot :

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?

[tex]\frac{\frac{3}{4}h\rightarrow10\text{ tasks}}{1h\rightarrow x\text{ tasks}}[/tex]

So, we have:

[tex]\begin{gathered} \frac{3}{4}x=10 \\ \\ x=\frac{10}{1}\div\frac{3}{4}\rightarrow\frac{10}{1}\times\frac{4}{3}=\frac{40}{3} \\ \\ \end{gathered}[/tex]

Let's write it as a mixed number:

Answer:

[tex]13\text{ }\frac{1}{3}\text{ tasks}[/tex]

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

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

[tex]\frac{\frac{3}{4}h\operatorname{\rightarrow}10\text{ tasks}}{x\text{ }h\operatorname{\rightarrow}1\text{ task}}[/tex][tex]\begin{gathered} 10x=\frac{3}{4} \\ \\ x=\frac{3}{4}\div\frac{10}{1}\rightarrow\frac{3}{4}\times\frac{1}{10}=\frac{3}{40}\text{ hours} \end{gathered}[/tex]

Answer:

[tex]\frac{3}{40}\text{ hours}[/tex]

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