Please help me!
Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart?
Hint: The time for both cars is the same and can be represented by "t." The total distance is 180 miles. The distance = (rate)(time). If you add the (rate)(time) of the first vehicle to the (rate)(time) of the second vehicle, that will equal the total distance of 180 miles. Since you only have one unknown (t), you only need one equation.
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Regarding your question about the two cars, we can solve it using the information provided. Let's denote the time it takes for both cars to be 180 miles apart as "t."
First, we determine the distance traveled by each car. The distance traveled by the first car is equal to its rate (55 mph) multiplied by the time (t). Similarly, the distance traveled by the second car is its rate (65 mph) multiplied by the same time (t).
So, the equation representing the total distance traveled by both cars is:
Distance of first car + Distance of second car = Total distance
55t + 65t = 180
Simplifying the equation:
120t = 180
To solve for "t," we divide both sides of the equation by 120:
t = 180 / 120
t = 1.5 hours
Therefore, it will take 1.5 hours (or 1 hour and 30 minutes) for the two cars to be 180 miles apart.
I hope this explanation helps! If you have any additional questions, feel free to ask.