Final answer:
To find the distance between points P and Q, we need to determine the time it takes for the two cars to meet. Using the given speeds and the fact that Car A has traveled 48 km more than Car B, we can set up an equation and solve it to find the time. Once we have the time, we can calculate the distance between points P and Q. The correct answer is 264 km.
Step-by-step explanation:
To find the distance between points P and Q, we need to determine the time it takes for the two cars to meet.
We can set up the equation:
Distance = Speed × Time
Let's assume the time it takes for the cars to meet is 't' hours.
Car A has a speed of 52 km/h and Car B has a speed of 44 km/h. Therefore, the total distance traveled by Car A is (52 km/h) × t and the total distance traveled by Car B is (44 km/h) × t.
According to the given information, Car A has traveled 48 km more than Car B when they meet. So, we can set up the equation:
(52 km/h) × t = (44 km/h) × t + 48 km
Simplifying this equation, we get:
8 km/h × t = 48 km
Dividing both sides by 8 km/h, we find:
t = 6 hours
Now, we can calculate the distance between points P and Q:
Distance = Speed × Time
Distance = (44 km/h) × 6 hours
Distance = 264 km
Therefore, the distance between points P and Q is 264 km. Option B is the correct answer.