Answer:
45
Explanation:
Let's assume the speed of the slower car is x km/h. Since the speed of the other car is 8/9 of the speed of the slower car, the speed of the faster car is (8/9)x km/h.
We know that the two cars meet after traveling for 7 hours, and the total distance between the two cities is 595 km.
To find the speed of each car, we can use the formula:
distance = speed × time
For the slower car: distance = x km/h × 7 hours
For the faster car: distance = (8/9)x km/h × 7 hours
Since the total distance between the two cities is 595 km, we can set up the equation:
x km/h × 7 hours + (8/9)x km/h × 7 hours = 595 km
Now, we can solve for x:
7x + (8/9)x × 7 = 595
Multiplying both sides by 9 to eliminate the fraction, we get:
63x + 56x = 5355
119x = 5355
x = 5355/119
x ≈ 45
Therefore, the speed of the slower car is approximately 45 km/h, and the speed of the faster car is approximately (8/9) × 45 = 40 km/h.