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.
- At 50 km/h:
\[ \text{Time}_{50} = \frac{600 \text{ km}}{50 \text{ km/h}} = 12 \text{ hours} \]
- 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.