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Distance Time

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Distance Time


1. **State the problem:** We have a table showing distance and time. The first row shows 120 km in 1 hour. We want to find the time it takes to travel 600 km assuming the speed is constant. 2. **Identify the relationship:** Since speed is constant, distance and time are directly proportional. We can use the formula for speed: $$\text{speed} = \frac{\text{distance}}{\text{time}}$$ 3. **Calculate the speed:** Using the first row, $$\text{speed} = \frac{120}{1} = 120 \text{ km/hour}$$ 4. **Find the unknown time:** Let the unknown time be $t$ hours for 600 km. Using the speed formula, $$120 = \frac{600}{t}$$ 5. **Solve for $t$:** $$t = \frac{600}{120} = 5$$ 6. **Conclusion:** It takes 5 hours to travel 600 km at the same speed. **Final answer:** $5$ hours