Two cyclists race along a straight course. The faster of the pair maintains an average speed of 30 mph. The slower cyclist averages 25 miles per hour. When the race ends, the judges announce that the faster cyclist crossed the finish line one hour before the slower racer. How many miles long was the racing course?
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Answer: 150 miles long. In order to complete 30 miles of distance, the faster cyclist requires 1 hour of time while the slower cyclist needs 1 .20 hours. Therefore, the time difference per 30 miles of travel is .20 hours. In order to increase the difference to 1 hour, multiply the 30 miles by 5.