1. **State the problem:** a) One turn of the wheels moves the bike 2 meters. We need to find how many turns of the wheels are needed to move 1700 meters. 2. **Formula and explanation:** The distance moved by the bike is equal to the number of wheel turns multiplied by the distance moved per turn. $$\text{Distance} = \text{Number of turns} \times \text{Distance per turn}$$ 3. **Calculate the number of wheel turns:** Let $x$ be the number of wheel turns. $$1700 = x \times 2$$ Divide both sides by 2: $$\frac{1700}{\cancel{2}} = x \times \frac{\cancel{2}}{2}$$ $$x = 850$$ So, 850 turns of the wheels are needed to move 1700 meters. 4. **Use the ratio for gear 3 to find pedal turns:** From the table, gear 3 has a ratio of turns of wheels to turns of pedals as $1 : 0.29$. This means for every 1 turn of the wheel, the pedals turn 0.29 times. Let $p$ be the number of pedal turns. $$p = 850 \times 0.29$$ $$p = 246.5$$ 5. **Final answers:** - a) Number of wheel turns needed: **850** - b) Number of pedal turns in gear 3: **246.5**