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      Question

      A bus takes 6 hours to travel

      from city P to city Q. If the speed was reduced by 10% after covering 120 km, it takes 30 more minutes to complete the journey from city P to city Q. Determine the distance between city P and city Q.
      A 480 km Correct Answer Incorrect Answer
      B 355 km Correct Answer Incorrect Answer
      C 275 km Correct Answer Incorrect Answer
      D 150 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the speed of bus be β€˜x’ km/h. So, x Γ— 6 = 120 + (9x/10) Γ—[6.5 – {120/x}] 6x = 120 + (9/10) Γ— (6.5x – 120) 1.5x = 120 x = 80 Required distance = x Γ— 6 = 480 km

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