A car traveling 84 km\h is 150 m behind a truck traveling 67km\h. How long will it take the car to reach the truck?(Second)

I'll got the answer and it was 30 second
But I really dono how It was solved

I need the wayyy;((

Noo It was 31 seconed

Pls I need a help

To solve this problem, we need to find the time it takes for the car to cover the distance between them and reach the truck. We can use the formula:

Time = Distance / Speed

Let's break down the solution step by step:

1. Convert the speeds to meters per second:
- The car's speed is 84 km/h, so we need to convert it to meters per second. There are 1000 meters in a kilometer and 3600 seconds in an hour, so the car's speed is (84 km/h) * (1000 m/km) / (3600 s/h) = 23.33 m/s (rounded to two decimal places).
- The truck's speed is 67 km/h, which is (67 km/h) * (1000 m/km) / (3600 s/h) = 18.61 m/s (rounded to two decimal places).

2. Calculate the relative speed of the car with respect to the truck:
- Since the car is behind the truck, the relative speed is the difference between their speeds. So, the relative speed is 23.33 m/s - 18.61 m/s = 4.72 m/s (rounded to two decimal places).

3. Calculate the distance between the car and the truck:
- The car is 150 m behind the truck, so the distance is 150 m.

4. Apply the formula to find the time:
- Plug in the values into the formula: Time = Distance / Speed
- Time = 150 m / 4.72 m/s = 31.78 seconds (rounded to two decimal places).

Therefore, it will take approximately 31.78 seconds (rounded to two decimal places) for the car to reach the truck.