Multiple choice

Two trains start at the same time from A and B and proceed toward each other at the speed of $75$ km hr and $50$ km/hr respectively. When both meet at a point in between, one train was found to have travelled $175$ km more than the other. Find the distance between A and B.

  1. $875$ km
  2. $785$ km
  3. $758$ km
  4. $857$ km
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A Correct answer
Explanation

Speeds 75 and 50. Ratio of distances = 75/50 = 3/2. Let distances be 3x and 2x. 3x - 2x = 175 => x = 175. Total distance = 3x + 2x = 5x = 5 * 175 = 875 km.

AI explanation

Since the trains travel for the same time, the ratio of their distances is the ratio of their speeds, which is 75 : 50 or 3 : 2. The difference in their distances represents one part of this ratio, so one part equals 175 km. The total distance between A and B is the sum of the ratio parts, which is 5 parts, so 5 multiplied by 175 gives 875 km. The distance is 875 km.

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