Multiple choice

Two trains start at the same time from station A and station B and proceed towards each other at the speeds of 16 km/hr and 21 km/hr, respectively. When they meet, it is found that one train has travelled 60 km more than the other. What is the distance between the two stations?

  1. 445 km

  2. 444 km

  3. 440 km

  4. 425 km

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

Let t be the time until they meet. Distance A = 16t, Distance B = 21t. Difference is 5t = 60, so t = 12 hours. Total distance = (16+21)*12 = 37*12 = 444 km.

AI explanation

Since both trains travel for the same amount of time until they meet, the ratio of the distances they cover is equal to the ratio of their speeds, which is 16 to 21. The difference in their speeds is 5 kilometers per hour, and this corresponds to a distance difference of 60 kilometers, meaning they traveled for 12 hours before meeting. Add the distances covered by both trains to find the total distance, calculated as 16 multiplied by 12 plus 21 multiplied by 12, which equals 444 kilometers.

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