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To determine how much longer it would take to travel 600 km at a speed of 50 km/h compared to 60 km/h, we can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
First, we will calculate the time it takes to travel 600 km at each speed.
1. **At 50 km/h**:
\[
\text{Time}_{50} = \frac{600 \text{ km}}{50 \text{ km/h}} = 12 \text{ hours}
\]
2. **At 60 km/h**:
\[
\text{Time}_{60} = \frac{600 \text{ km}}{60 \text{ km/h}} = 10 \text{ hours}
\]
Now, we can find the difference in time:
\[
\text{Difference} = \text{Time}_{50} - \text{Time}_{60} = 12 \text{ hours} - 10 \text{ hours} = 2 \text{ hours}
\]
Thus, it would take **2 hours longer** to travel 600 km at a speed of 50 km/h than at a speed of 60 km/h.