Multiple choice

Rani started walking to the station half a km from her home at 1 kmph to catch the train in time. After 6 minutes she realized that she had forgotten her purse at home and returned with increased, but constant speed to get it succeeded in catching the train. Find her latter speed in kmph.

  1. 1.5 kmph

  2. 1.2 kmph

  3. 2.2 kmph

  4. 3.5 kmph

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

Distance = 0.5 km. Speed = 1 kmph. Time to station = 0.5 hours = 30 minutes. She walked for 6 minutes (0.1 hours), covering 0.1 km. She is 0.4 km from home. She has 30 - 6 = 24 minutes (0.4 hours) left to return home and reach the station. Total distance to cover = 0.1 (to return) + 0.5 (to station) = 0.6 km. Speed = 0.6 / 0.4 = 1.5 kmph.

AI explanation

Rani needed to cover 0.5 km at 1 kmph, which requires exactly 30 minutes. After walking for 6 minutes, she had to return home and cover the entire 0.5 km distance again in the remaining 24 minutes. Converting her available time to hours gives 0.4 hours, so her return speed equals 0.5 divided by 0.4, which is 1.5 kmph.

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