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      Question

      A woman must travel 500 km in 10 hours. If she traveled

      the first 30% of the journey at a constant speed of 50 km/h, at what speed must she travel the remaining distance so that she finishes the journey on time?
      A 50 km/h Correct Answer Incorrect Answer
      B 45 km/h Correct Answer Incorrect Answer
      C 25 km/h Correct Answer Incorrect Answer
      D 75 km/h Correct Answer Incorrect Answer

      Solution

      ATQ, 30% of 500 = 150 km Time taken to travel 150 km = 150 Γ· 50 = 3 hours Remaining distance = 500 - 150 = 350 km Remaining time = 10 - 3 = 7 hours So, speed at which remaining distance is to be traveled = 350 Γ· 7 = 50 km/h

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