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3 years ago

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

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

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

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

Keywords: Unit rate, Speed

Learn more about unit rate at:

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5. A blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12

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Solution:

Given that blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12 hours 22 minutes

To find: average rate of speed in feet per hour

The speed is given by formula:

$speed = \frac{distance}{time}$

From given information,

$distance = 228 \text{ miles }$

$time = 12 \text { hours } 22 \text{ minutes }$

We know that,

$1 \text{ minute } = \frac{1}{60} \text{ hour}$

Therefore,

$12 \text { hours } 22 \text{ minutes } = 12 + \frac{22}{60} \text{ hour } = 12.3667 \text{ hour }$

Substituting the values in above formula,

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Thus average speed is 18.4366 miles per hour

Let us convert to feet per hour

We know that,

1 mile = 5280 feet

Therefore,

18.4366 miles = 18.4366 x 5280 feet = 97345.248 feet

Thus average speed is 97346 feet per hour approximately

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