Question

A robot can complete 4 tasks in 5/6 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? a. It takes the robot nothing ​hour(s) to complete one task.

Answer 1

Here's what we know:

4t = 7/10 (4 tasks take 7/10 of an hour)

Divide both sides by 4:

4t / 4 = 7/10 / 4

t = 7/40

So each task is 7/40 of an hour

7/40 n = 1 (Now we want to find the number of tasks completed in 1 hour)

Multiply both sides by 40/7:

n = 40/7

Converting improper fraction to a mixed number:

n = 5 5/7

So the robot will complete 5 5/7 tasks in an hour. If the answer is looking for fully finished tasks and not partially done ones, the you need to round down to 5.

Answer 2

Part A

What we know

We know that a robot can complete 4 tasks in $\frac{5}{6}$ hour. Each task takes the same amount of time

What we need to know

We need to know how long it takes the robot to complete one​ task

Show your work

$\frac{5}{6}$ of an hour is also equal to 50 minutes.

So now, we divide:

50 ÷ 4 = 12.5

Check your work

One thing we can do to check our work is to multiply:

12.5 x 4 = 50

Answer

it takes the robot 12.5 minutes to complete one​ task

Part B

What we know (same as Part A)

We know that a robot can complete 4 tasks in $\frac{5}{6}$ hour. Each task takes the same amount of time

What we need to know

We need to know how many tasks the robot complete in one​ hour.

Show your work

Using the information from Part A, we know that $\frac{5}{6}$ is 50 minutes. We also know it take the robot 12.5 minutes to complete one task. 60 minutes is equal to one hour. So what we would do is divide:

60 ÷ 12.5 = 4.80

The robot cannot complete 5 tasks in one hour.

Check your work

To check our work, we can multiply:

4.80 x 12.50 = 60 or one hour

Answer

The robot can complete 4.8 tasks in one hour.

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