Multiple choice

A train started from point P at a speed of 75 km/hour towards point Q. At the same time, another train started from point Q at a speed of 45 km/hour towards point P. When they meet at point O, it is found that one train travelled 240 km more than the other. What is the distance between two points P and Q?

  1. 530 km

  2. 650 km

  3. 810 km

  4. 960 km

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let t be the time until they meet. 75t - 45t = 240, so 30t = 240, t = 8 hours. Total distance = (75+45)*8 = 120*8 = 960 km.

AI explanation

Let the two trains run for time t hours until they meet. The distance covered by the first train is 75t km and the distance covered by the second train is 45t km. According to the problem, 75t minus 45t equals 240, so 30t equals 240 which gives t equals 8 hours. The total distance between points P and Q is the sum of the distances covered by both trains, which is 75 multiplied by 8 plus 45 multiplied by 8, giving 600 km plus 360 km equal to 960 km.

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