Question

Bob nailed wooden board sections to a fence. He nailed 2/9 of a section in 1/10 of an hour. Explain how to use the information to find two different unit rates

Answer 1

(I) The number of section nailed per hour is
`2(2)/(9)` sections/hour.

(II) The number of hours spent to nail a section is
`(9)/(20)` hours/section.

Explanation:

Bob nailed wooden board sections to a fence. He nailed 2/9 of a section in 1/10 of an hour.

From the above information, we can get two different unit rates and they are

(I) The number of section nailed per hour and

(II) The number of hours spent to nail a section.

Now, (I) the number of section nailed per hour is given by

`(2)/(9) / (1)/(10) = (2)/(9) * (10)/(1) = (20)/(9) = 2(2)/(9)` sections/hour.

Again, (II) the number of hours spent to nail a section will be given by

`(1)/(10) / (2)/(9) = (1)/(10) * (9)/(2) = (9)/(20)` hours/section. (Answer)