Multiple choice

Two trains starts from P and Q respectively and travel towards each other at a speed of 50 km/h and 40km/hr respectively. By the time they meet, the first train has travelled 100km more than the second. The distance between P and Q is:

  1. 500km

  2. 630km

  3. 660km

  4. 900km
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D Correct answer
Explanation

The trains travel for the same time before meeting, so their distances are in the ratio 50 : 40 = 5 : 4. The difference of one ratio part is 100 km, making the total distance 9 x 100 = 900 km.

AI explanation

Let the two trains travel for time t hours until they meet. In time t, the first train travels a distance of 50t km and the second train travels 40t km. Since the first train travels 100 km more than the second, we write the equation 50t minus 40t equals 100, so 10t equals 100 and t equals 10 hours. The total distance between P and Q is the sum of the distances both trains traveled before meeting, which is 50(10) + 40(10), equaling 900 km.

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