What is the distance traveled by the turtle during the seventh minute if it walked 0.3 m in the first minute then it tripled its speed each minute?

1 Answer

Answer :

Initial (average) speed = distance/time = 0.3 m / 1 min = 0.3m/minIf it triples its speed every minute:for the second minute it walks at 3 × 0.3m/minfor the third minute it walks at 3² × 0.3 m/minfor the nth minute it walks at 3ⁿ⁻¹ × 0.3 m/min→ for the 7th minute it "walks" at 3⁷⁻¹ × 0.3 m/min = 3⁶ × 0.3m/min (approx 13 km/h or 8 mph; we generally walk at 2 to 3mph)→ distance = speed × time→ distance in 7th minute = 3⁶ × 0.3 m/min × 1 min = 3⁶ × 0.3 m =218.7 m

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