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      Question

      Ram needs to cover a certain distance to reach his

      destination. When he drives at a constant speed of 24 km/h, he arrives 2 hours later than planned. However, if he increases his speed to 30 km/h, he arrives exactly on time. Determine the distance Ram needs to travel.
      A 240 km Correct Answer Incorrect Answer
      B 300 km Correct Answer Incorrect Answer
      C 180 km Correct Answer Incorrect Answer
      D 320 km Correct Answer Incorrect Answer

      Solution

      Let the appropriate time taken by Ram to travel the distance = 't' hours Let the distance travelled by Ram = 'd' km We have, 24(t + 2) = 24t + 48 = d Also, 30t = d So, 24t + 48 = 30t So, 6t = 48 So, t = 8 So, d = 30t = 30 x 8 = 240 km Hence, option a.

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