SOLUTION: A cyclist traveled at a rate of 24mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby to

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Use where d is distance, r is the rate, and t is the time. Either direction the distance from home to the town is the same. Let's say that the time for the trip to town is t hours, then the time for the return trip is . So the distance to town is and the return trip distance is . But these two distances are the same so we can say:











. The trip to town took 2.1 hours, so the distance is miles.

Check:

The return trip must have taken hours, so

, and the answer checks.