Certainly! Let's solve this problem step-by-step:
### Step 1: Determine the car's speed
First, we need to find the speed of the car. Speed is defined as the distance traveled divided by the time taken. In this case:
- Distance [tex]\( d \)[/tex] = 220 miles
- Time [tex]\( t \)[/tex] = 4 hours
[tex]\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{220 \text{ miles}}{4 \text{ hours}} = 55 \text{ miles per hour (mph)} \][/tex]
### Step 2: Determine the distance traveled in 6 hours
Now that we know the car's speed is 55 miles per hour, we can use this information to find out how far the car will travel in 6 hours. The formula to find the distance when speed and time are known is:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given:
- Speed [tex]\( s \)[/tex] = 55 mph
- New Time [tex]\( t \)[/tex] = 6 hours
[tex]\[ \text{New Distance} = \text{Speed} \times \text{Time} = 55 \text{ mph} \times 6 \text{ hours} = 330 \text{ miles} \][/tex]
### Conclusion
After traveling for 6 hours at the same speed of 55 miles per hour, the car will have traveled:
[tex]\[ 330 \text{ miles} \][/tex]
