Multiple choice

A school bus covers a distance from village to school at the speed of $12$ kmph and reaches the school $8$ min late. The next day the school bus covers same distance at the speed of $20$ kmph and reaches $10$ min early. what is the distance between village and school.

  1. $8$ km
  2. $9$ km
  3. $10$ km
  4. $12$ km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D. Time1 = D/12, Time2 = D/20. Time difference = 8 min late + 10 min early = 18 min = 18/60 hours = 0.3 hours. D/12 - D/20 = 0.3 => (5D - 3D)/60 = 0.3 => 2D = 18 => D = 9.

AI explanation

Let the exact time be t minutes. Since the distance is constant, 12 multiplied by (t plus 8) equals 20 multiplied by (t minus 10). Solving this equation gives an exact time of 37 minutes. The distance is 12 multiplied by (37 plus 8) divided by 60, which equals 9 km.

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