Multiple choice

A boy walks from his house to school at 2.5 kmph and arrives 12 minutes late The next day he walks at 4 kmph and reaches the school 15 minutes earlier What is the distance from his house to school?

  1. 2 km

  2. 2.5 km

  3. 3 km

  4. 3.5 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be d. (d/2.5) - (d/4) = (12+15)/60 = 27/60 = 0.45 hours. (4d - 2.5d) / 10 = 0.45. 1.5d = 4.5. d = 3 km.

AI explanation

Let the distance be D kilometers and the correct time to reach be T hours. Using the formula Time = Distance / Speed, we get (D / 2.5) - T = 12/60 and T - (D / 4) = 15/60. Adding these equations eliminates T, giving (D / 2.5) - (D / 4) = 27/60, which simplifies to 1.5D / 10 = 0.45. Solving this gives D = 3 km.

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