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Tomorrow a delivery truck will run a route 20% longer than today's, and it will run 10% faster than it did today. The time the trip takes will be greater than today's by what percent?

Competition practiceRatio, Percentage & Commercial Math
  • A8.33
  • B10
  • C9.09
  • D30

Step-by-Step Solution

Time = distance ÷ speed, so the time is multiplied by 1.20/1.10 = 1.0909 — a rise of 9.09%. (Subtracting the two rates to get 10% would be right only if time were distance MINUS speed; adding them gives 30%, which is wrong twice over. 8.33% is the factor upside down, 1.10/1.20 = 0.9167, and describes a shortening that does not happen.)
Answer: C) 9.09

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