Multiple choice

An express train travelled at an average speed of $100$ km/hr, stopping for $3$ minutes after every $75$ km. How long did it take to reach its destination $600$ km from the starting point?

  1. $6$ hrs $21$ min
  2. $6$ hrs $24$ min
  3. $6$ hrs $27$ min
  4. $6$ hrs $30$ min
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A Correct answer
Explanation

Travel time = 600 / 100 = 6 hours. Stops occur at 75, 150, 225, 300, 375, 450, 525 km. That is 7 stops. 7 * 3 minutes = 21 minutes. Total time = 6 hours 21 minutes.

AI explanation

Divide the total distance of 600 km by the speed of 100 km/hr to find a moving time of 6 hours. The train makes 600 / 75 = 8 stops of 75 km, but because the final stop occurs at the destination, there are only 7 intermediate stops of 3 minutes each, totaling 21 minutes. Adding the moving time of 6 hours to the 21 minutes of stops gives 6 hrs 21 min.

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