Question

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 180 miles in the same time that Dana travels 165 miles. If Chuck's rate of travel is 3mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?

Answer 1

Chuck's speed cannot be determined. Therefore, there is no valid solution to this problem and we cannot determine Chuck's speed.

Step-by-step explanation:

Let's represent the time it takes for Chuck to travel 180 miles as t. Since Dana travels the same length of time, she also takes t hours to travel 165 miles. We can set up the following proportion to represent the relationship between their rates:

180/t = 165/t

Cross multiplying, we get:

180t = 165t

Subtracting 165t from both sides, we have:

15t = 0

Dividing both sides by 15, we find that t = 0.

This means that it took 0 hours for Chuck and Dana to travel their respective distances, which is not possible. Therefore, there is no valid solution to this problem and we cannot determine Chuck's speed.

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