Вопрос:

Let x be the speed of the cargo car. Then x+32 is the speed of the light car. The distance covered by the cargo car is (x+32)*3. The distance covered by the light car is x*5. According to the problem, the distances are equal. Formulate the equation and find the speed of the cargo car.

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Ответ:

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.

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