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The car's speed is 204.545 miles per hour

Step-by-step explanation:

The given is:

  • A race car is traveling at a rate of 100 yards per second
  • We need to find the car's speed in miles per hour

∵ The car race is traveling at a rate of 100 yards per second

- At first lets find how many miles are there in one yard

1 yard = 0.000568182 mile

- Then find how many seconds in one hour

∵ 1 hour = 30 minutes

∵ 1 minute = 60 seconds

∴ 1 hour = 60 × 60 = 3600 seconds

1 second = [tex]\frac{1}{3600}[/tex] hour

∵ 100 yards per second = [tex]\frac{100yards}{1second}[/tex]

- Multiply the 100 yards by 0.000568182 to change it to miles

  and the second by [tex]\frac{1}{3600}[/tex] to change it to hour

∴ [tex]\frac{(100)(0.000568182)}{(1)(\frac{1}{3600})}[/tex]

∴ 100 yards per second = 0.0568182 × 3600

100 yards per second = 204.545 miles per hour

The car's speed is 204.545 miles per hour

Learn more:

You can learn more about the word problems in brainly.com/question/9998060

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