Two cyclists leave towns apart at the same time and travel toward each other. One cyclist travels slower than the other. If they meet in hours, what is the rate of each cyclist?
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How slow? How fast? There isn't enough information.
To determine the rates of the two cyclists, we need to consider the distances traveled by each cyclist.
Let's assume that the slower cyclist has a rate of 'r' (in miles per hour), and the faster cyclist has a rate of 'R' (in miles per hour).
Since they are traveling towards each other and they meet after traveling for 't' hours, we can use the formula distance = rate × time to calculate the distances traveled by each cyclist.
The distance traveled by the slower cyclist is given by distance = rate × time = r × t.
Similarly, the distance traveled by the faster cyclist is distance = rate × time = R × t.
Since they are traveling towards each other, the sum of their distances should equal the total distance between the two towns. Let's assume the distance between the towns is 'd' miles.
Therefore, we have the equation: r × t + R × t = d.
Since we know that they meet after 't' hours, we can substitute the value of 't' in the equation: r × t + R × t = d.
Now we can solve the equation for 'r' and 'R' to find the rates of the two cyclists.