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      Question

      Train 'P' leaves Pune for Nagpur at 6:00 a.m. At 8:00 a.m.,

      another train 'Q' departs from Nagpur to Pune at 55 km/h. Both trains meet at 1:00 p.m. If the distance between Pune and Nagpur is 620 km, what is the speed of train 'P'?
      A 49.29 km/h Correct Answer Incorrect Answer
      B 53.33 km/h Correct Answer Incorrect Answer
      C 73.33 km/h Correct Answer Incorrect Answer
      D 33.88 km/h Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the speed of train 'P' be 'x' km/h

      Distance covered by train 'P' alone = 2 × x = 2x km

      Time both trains travelled together = 5 hours

      ATQ;

      5 × (55 + x) = 620 - 2x

      Or, 275 + 5x = 620 - 2x

      Or, 345 = 7x

      So, x = 49.29

      So, speed of train 'P' = 49.29 km/h

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