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      Question

      Two cars ‘X’ and ‘Y’ start from cities ‘M’ and

      ‘N’ respectively towards each other at the same time. The distance between cities ‘M’ and ‘N’ is 600 km. If cars ‘X’ and ‘Y’ are moving at speeds of 20 km/hr and 30 km/hr respectively, find the distance from city ‘M’ to the point where the two cars will meet each other.
      A 120 km Correct Answer Incorrect Answer
      B 255 km Correct Answer Incorrect Answer
      C 280 km Correct Answer Incorrect Answer
      D 374 km Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance from ‘M’ where two cars will meet each other be ‘x’ km.Therefore,

      Image

      Or, 3x = 600 - 2x

      Or, 5x = 600

      Or, x = 120

      Therefore, both cars will meet each other at a distance of 120 km from city ‘M’.

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