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      Question

      A bicycle moves at 30 km/h and needs 9 hours to complete

      a journey. A van completes the same journey in 3 hours. If the bicycle's speed is increased by 20% and the van's speed is reduced by 30%, find the new speed difference between the bicycle and van.
      A 65 Correct Answer Incorrect Answer
      B 27 Correct Answer Incorrect Answer
      C 20 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Distance = 30 × 9 = 270 km Speed of the van = 270 / 3 = 90 km/h Increased speed of the bicycle = 30 × 1.2 = 36 km/h Decreased speed of the van = 90 × 0.7 = 63 km/h Required difference = 63 - 36 = 27 km/hr (van is faster)

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