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      Question

      A goods train leaves a station at a certain time and at

      a fixed speed. After 9 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 128 km/hr, this train catches up the goods train in 7 hours. Find the speed of the goods train.
      A 56 km/hr Correct Answer Incorrect Answer
      B 77 km/hr Correct Answer Incorrect Answer
      C 84 km/hr Correct Answer Incorrect Answer
      D 42 km/hr Correct Answer Incorrect Answer

      Solution

      Let the speed of the goods train be ‘s’ km/hr Distance covered by goods train in 16 hrs = s x 16 km Distance covered by express train in 7 hrs = 7 x 128 km Distance covered by goods train in 16 hrs = Distance covered by express train in 7 hrs So, 16s = 7 × 128 ⇒ 16s = 896 ⇒ s = 896/16 = 56 So, Speed of goods train = 56 km/hr

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