6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His
personal best for the 300m race is 31. Approximately what is the difference in his two unit
rates? (round to tenths place)

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absor201 absor201 · Answer 1 · 2019-11-30T15:14:17+01:00

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

Unit rate for 400m race:

Distance = 400m

Time = 43 sec

[tex]Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second[/tex]

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

[tex]Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second[/tex]

The difference between both unit rates is:

[tex]U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec[/tex]

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

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