Solution:
- Let x be the speed of the cargo car (in km/h).
- Then the speed of the light car is (x + 32) km/h.
- The distance covered by the cargo car is 5x km.
- The distance covered by the light car is 3(x + 32) km.
- According to the condition, the distances are equal: 5x = 3(x + 32)
- Now, we solve the equation:
- 5x = 3x + 96
- 5x - 3x = 96
- 2x = 96
- x = 96 / 2
- x = 48
Final Answer:
The speed of the cargo car is 48 km/h.