Answer:
It takes 10 hours to travel 750 miles.
Step-by-step explanation:
Since the car is moving at a constant speed, the relationship between distance traveled and time spent driving is directly proportional. This can be expressed as:
[tex]\[ \text{distance} = \text{speed} \times \text{time} \][/tex]
We can determine the speed of the car using the given information:
[tex]\[ \text{speed} = \frac{\text{distance}}{\text{time}} = \frac{300 \text{ miles}}{4 \text{ hours}} = 75 \text{ miles per hour} \][/tex]
Now, we need to find out how long it takes to travel 750 miles at this speed. Using the same formula:
[tex]\[ \text{time} = \frac{\text{distance}}{\text{speed}} = \frac{750 \text{ miles}}{75 \text{ miles per hour}} = 10 \text{ hours} \][/tex]
Therefore, it takes 10 hours to travel 750 miles.
Step-by-step explanation:
speed = distance / time travelled
300 / 4 = 75 mph
75 = 750/x
x = 750/75 = 10 hours
so, it does take 10 hours to travel 750 miles.