Two cyclists, Arlene and Bianca, complete a 60-mile course. Bianca's speed was 5 mph faster than Arlene's, and she finished the course 1 hour sooner. What was each cyclist's speed?

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Bianca's speed was 20 mph, while Arlene's speed was 15 mph.

Given that two cyclists, Arlene and Bianca, complete a 60-mile course, and Bianca's speed was 5 mph faster than Arlene's, and she finished the course 1 hour sooner, to determine what was each cyclist's speed the following calculation must be performed:

  • 5 mph = 1 hour
  • 60/5 = 12
  • 60/10 = 6
  • 60/10 = 6
  • 60/15 = 4
  • 60/15 = 4
  • 60/20 = 3

Therefore, Bianca's speed was 20 mph, while Arlene's speed was 15 mph.

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