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To solve the math problem involving a car and a truck, let’s follow a structured approach as outlined:

Assumed Problem Statement

A car and a truck depart from the same location and travel in opposite directions. The car’s speed is 70 km/h, and the truck’s speed is 50 km/h. After how many hours will the distance between them be 480 km?

Step 1: Understand the Problem

We need to find the time (t) (in hours) when the car and truck are 480 km apart. Key knowns:

• Car speed: 70 km/h
• Truck speed:50 km/h
• Target distance between them:480 km
• Both start at the same point and move opposite directions.

Step 2: Analyze the Problem

When moving in opposite directions, the distance between the two vehicles increases by the sum of their speeds each hour. This is because each vehicle moves away from the starting point, so their contributions to the distance add up.

Sum of speeds = Car speed + Truck speed = (70 +50 =120) km/h.

This means every hour, the distance between them grows by 120 km. We need to find (t) where the total distance equals 480 km.

Step3: Solve the Problem

The total distance between them after (t) hours is:
[ \text{Total Distance} = (\text{Sum of speeds}) \times t ]

Substitute the known values:
[120t =480]

Solve for (t):
[t = \frac{480}{120} =4]

Step4: Verify the Answer

Check if the calculation holds:

• Car travels in 4 hours: (70 \times4 =280) km
• Truck travels in4 hours: (50 \times4=200) km
• Total distance: (280+200=480) km (matches the target).

Final Answer: 4 hours.
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