1. **State the problem:** Find Farhan's average speed for the entire triathlon, given three segments: swimming, cycling, and running. 2. **Given data:** - Swimming distance $d_1 = 1.5$ km, speed $v_1 = 2.5$ km/h - Cycling distance $d_2 = 40$ km, time $t_2 = 1.5$ hours - Running speed $v_3 = 9$ km/h, time $t_3 = 1 \frac{1}{9} = \frac{10}{9}$ hours 3. **Formula for average speed:** $$\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}}$$ 4. **Calculate missing values:** - Swimming time $t_1 = \frac{d_1}{v_1} = \frac{1.5}{2.5} = 0.6$ hours - Cycling distance $d_2 = 40$ km (given) - Running distance $d_3 = v_3 \times t_3 = 9 \times \frac{10}{9} = 10$ km 5. **Calculate total distance:** $$d_{total} = d_1 + d_2 + d_3 = 1.5 + 40 + 10 = 51.5 \text{ km}$$ 6. **Calculate total time:** $$t_{total} = t_1 + t_2 + t_3 = 0.6 + 1.5 + \frac{10}{9} = 0.6 + 1.5 + 1.111... = 3.211... \text{ hours}$$ 7. **Calculate average speed:** $$\text{Average speed} = \frac{51.5}{3.211...} \approx 16.04 \text{ km/h}$$ **Final answer:** Farhan's average speed for the entire competition is approximately $16.04$ km/h.