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      Question

      Two trucks β€˜M’ and β€˜N’ started simultaneously

      from cities β€˜X’ and β€˜Y’ respectively towards each other. When they met after 9 hours, truck β€˜N’ had travelled 144 km more than truck β€˜M’. How much distance did truck β€˜M’ travel in 6 hours if the total distance between X and Y is 624 km?
      A 190 km Correct Answer Incorrect Answer
      B 160 km Correct Answer Incorrect Answer
      C 140 km Correct Answer Incorrect Answer
      D 120 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let distance travelled by truck β€˜M’ at the time of meet = x km

      So, distance travelled by truck β€˜N’ at the time of meet = x + 144 km

      According to question;

      x + x + 144 = 624

      Or, 2x = 480

      Or, x = 240

      Distance travelled by truck β€˜M’ in 9 hours = 240 km

      Speed of truck β€˜M’ = 240 / 9 = 26.67 km/h

      Distance travelled by truck β€˜M’ in 6 hours = 26.67 Γ— 6 = 160 km

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