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      Question

      A racecar travels at 150 km/h and completes a track in 2

      hours. A motorcycle completes the same track in 4 hours. If the racecar's speed is boosted by 10% and the motorcycle's speed is cut by 15%, what is the difference in their new speeds?
      A 165.25 Correct Answer Incorrect Answer
      B 127.02 Correct Answer Incorrect Answer
      C 101.25 Correct Answer Incorrect Answer
      D 95.22 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Distance = 150 Γ— 2 = 300 km Speed of the motorcycle = 300 / 4 = 75 km/h Increased speed of the racecar = 150 Γ— 1.10 = 165 km/h Decreased speed of the motorcycle = 75 Γ— 0.85 = 63.75 km/h Required difference = 165 - 63.75 = 101.25 km/hr

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