Multiple choice

Two trains start from points A and B and travel towards each other at speeds of 40 km/hr and 30 km/hr, respectively. By the time they meet, the first train has travelled 100 km more than the second. What is the distance between A and B?

  1. 300 km

  2. 700 km

  3. 500 km

  4. 200 km

  5. 800 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let t be the time until they meet. Distance 1 = 40t, Distance 2 = 30t. 40t - 30t = 100, so 10t = 100, t = 10 hours. Total distance = 40t + 30t = 70t = 70 * 10 = 700 km.

AI explanation

Since both trains travel for the same amount of time until they meet, their time is calculated by dividing the difference in distance by the difference in speed. This gives a time of 100 km divided by 10 km/hr, which equals 10 hours. Therefore, the total distance between A and B is the sum of their speeds multiplied by this time, resulting in (40 + 30) multiplied by 10, which equals 700 km.

Keep practicing — related questions