Answer: Let's start by finding out the distance covered on paved and unpaved roads respectively.
Distance covered on paved road = 67.5% of 540 km = 0.675 x 540 = 364.5 km
Distance covered on unpaved road = 32.5% of 540 km = 0.325 x 540 = 175.5 km
Let the speed of the car on unpaved roads be x km/h. Then, the speed of the car on paved roads will be (x + 25) km/h.
Now, let's use the formula:
time = distance / speed
We know that the total time taken to cover the entire road is 10 hours.
So,
time taken on paved road + time taken on unpaved road = 10
or,
364.5 / (x + 25) + 175.5 / x = 10
Simplifying this equation, we get:
7.29x + 182.25 = 10x + 725
2.71x = 542.75
x ≈ 200
Therefore, the speed of the car on unpaved roads is 200 km/h, and the speed of the car on paved roads is 225 km/h (x + 25).
Explanation: