Answer :
one cyclist travels faster than the other. Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).
Let x = the rate of the faster cyclist, and y = the rate of the slower cyclist.
We can set up the equation:
x + y = (distance between towns) / (time they met)
x + y = (distance between towns) / (hours)
We can solve for x and y:
x = (distance between towns) / (2 * hours)
y = (distance between towns) / (2 * hours)
Therefore, the rate of the faster cyclist is (distance between towns) / (2 * hours) and the rate of the slower cyclist is also (distance between towns) / (2 * hours).
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