To determine how long it will take for a car to travel 600 km, given that it traveled 700 km in 12 hours, follow these steps:
1. Calculate the speed of the car:
- The speed of the car can be calculated using the formula:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
- Here, the distance traveled is 700 km and the time taken is 12 hours. So,
[tex]\[
\text{Speed} = \frac{700 \text{ km}}{12 \text{ hours}} = 58.33 \text{ km/h}
\][/tex]
2. Determine the time to travel 600 km:
- Now that we know the speed of the car, we can find out how long it will take to travel 600 km using the formula:
[tex]\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\][/tex]
- Here, the distance we want to travel is 600 km and the speed of the car is 58.33 km/h. So,
[tex]\[
\text{Time} = \frac{600 \text{ km}}{58.33 \text{ km/h}} = 10.29 \text{ hours}
\][/tex]
In summary, the car will take approximately 10.29 hours to travel 600 km.
