Question

A robot can complete 8 tasks in 5/6 hour. each task takes the same amount of time.

a. how long does it take the robot to complete the task?

b. how many tasks can the robot complete in one hour?

Answer 1

5/6 hour = 5/6 × 60 = 300/6 = 50 minutes

8 tasks in 50 minutes
1 task = 50/8 = 6 1/4 minutes

a. robot completes task in 6 1/4 minutes

b. #tasks per hour =
#of tasks × time takes to do task < or = 60
n × 6.25 = 60
6.25n = 60.
n= 60/6.25 = 9.6

robot can complete 9 tasks in one hour

Answer 2

A robot can complete 8 tasks in hour =
`(5)/(6)`

A robot can complete 1 task in hour =
`((5)/(6))/(8)`

A robot can complete 1 task in hour =
`(5)/(48)`

So, it take
`(5)/(48)` hours the robot to complete the task

A robot can complete tasks in
`(5)/(6)` hour = 8

A robot can complete tasks in 1 hour =
`(8)/((5)/(6))`

=
`9.6`

So, the robot complete 9 tasks in one hour.