Multiple choice

X and Y set out for their school which is 6 km away from their village. They walk at a speed of 6 km/hr. After going 1 km, X has to return to the starting point. After returning, he immediately sets off for his school. Now, at what rate must he walk so that he reaches the school at the same time as Y?

  1. 8.4 km/hr

  2. 9 km/hr

  3. 12 km/hr

  4. 10.8 km/hr

  5. 7.2 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Y travels 6 km at 6 km/hr to reach the school in 1 hour; X travels 1 km forward and 1 km back to the start at 6 km/hr, taking 20 minutes, leaving him 40 minutes to travel the remaining 6 km. Converting 40 minutes to hours gives 2/3 of an hour, so the required speed is 6 km divided by (2/3) hr. X must walk at a rate of 9 km/hr to reach the school at the same time as Y.

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