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Grade 7 puzzle 6: Total distance ÷ total time

A free grade 7 math puzzle that teaches Total distance ÷ total time. Try it first — the hint and the full solution open when you are ready.

Problem 6 · Total distance ÷ total time · 4 points

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Ala walks to school at 4 km/h and returns home by the same route at 6 km/h. What is her average speed for the whole round trip?

Illustration for problem 6
  1. 5.2 km/h
  2. 5 km/h
  3. 4.8 km/h
  4. 4.4 km/h
  5. 4.6 km/h
Show a hint
  • Pick a convenient distance, say 12 km each way, and compute the total time.
Show the answer and solution

Answer: C — 4.8 km/h

Take 12 km each way: going takes 3 h, returning 2 h. Total: 24 km in 5 h → 4.8 km/h. The "obvious" 5 is wrong because Ala spends MORE TIME at the slower speed. Averages must be weighted by what actually accumulates (time) — a deep idea that reappears in statistics and physics.

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