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20. At a constant speed of 55 mph, the distance traveled is directly proportional to the time of travel, [tex]d = 55t[/tex]. If a car travels at 55 mph for 3 hours, how many miles does it go?

A. 165
B. 192.5
C. 550
D. 275

Sagot :

GinnyAnswer
To determine the distance traveled by the car, we can use the relationship given in the question: [tex]\( d = 55t \)[/tex], where [tex]\( d \)[/tex] represents the distance in miles and [tex]\( t \)[/tex] represents the time in hours.

Step-by-Step Solution:

1. Identify the given constant speed: [tex]\( 55 \)[/tex] miles per hour (mph).
2. Identify the given time of travel: [tex]\( 3 \)[/tex] hours.
3. Substitute the given time into the equation [tex]\( d = 55t \)[/tex].

We substitute [tex]\( t = 3 \)[/tex] into the equation:

[tex]\[ d = 55 \times 3 \][/tex]

4. Perform the multiplication:

[tex]\[ d = 165 \][/tex]

So, the distance traveled by the car at a constant speed of 55 mph for 3 hours is 165 miles.

Conclusion:

The correct answer is [tex]\( \boxed{165} \)[/tex]. Therefore, the car travels 165 miles.
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