1. **State the problem:** Thuto runs 6 km in 24 minutes. We want to find how long it will take him to run 10 km at the same constant speed. 2. **Convert time to hours:** 24 minutes is equal to $\frac{24}{60} = 0.4$ hours. 3. **Calculate speed:** Speed is distance divided by time, so $$\text{speed} = \frac{6 \text{ km}}{0.4 \text{ hours}} = 15 \text{ km/hour}.$$ 4. **Find time to run 10 km:** Time is distance divided by speed, so $$\text{time} = \frac{10 \text{ km}}{15 \text{ km/hour}} = \frac{2}{3} \text{ hours}.$$ 5. **Convert $\frac{2}{3}$ hours to minutes:** $\frac{2}{3} \times 60 = 40$ minutes. 6. **Answer:** It will take Thuto $\frac{2}{3}$ hour to run 10 km at the same speed. Among the options, $\frac{2}{3}$ hour corresponds to none exactly, but $\frac{3}{4}$ hour (0.75 hour) is closest. The exact answer is $\frac{2}{3}$ hour (40 minutes).