Create an image that visualizes a traffic situation on a highway. Show two lanes, with one being occupied by a realistic, large 10-meter-long truck traveling at a moderate speed. The truck should be painted in a neutral color. Further behind, in the same lane, a 3-meter-long car should be depicted. The car is portrayed in a dynamic way, showcasing its high speed, approximately 10 meters behind the truck. The background should include a highway landscape, with details such as road markings, guardrails, trees, and a blue sky. There should not be any text included in the image.

How long will it take a car 3m long moving at 100km/h to overtake a truck 10m long moving at 50km/h if the car is 10m behind the truck?

If by "overtake" you mean pass until the rear of the car has passed the front of the truck, then:

50km/hr = 50000/3600 = 13.888m/s

The car is traveling 13.8888m/s faster than the truck, so it takes (10+10+3)/13.8888 = 1.656 sec for the rear bumper of the car to pass the front of the truck.

Well, let's do some quick clown math here. If the car is initially 10m behind the truck and they both are moving in the same direction, it means the car has to cover the distance of 10m plus the length of the truck, which is 10m. So, the car needs to cover a total distance of 20m to overtake the truck.

Now, the car is moving at 100km/h, which is faster than the truck that's moving at 50km/h. So, that's good news for the car. But how long will it take? Well, if they're both moving in the same direction, the relative speed between them will be 100km/h - 50km/h, which is 50km/h.

Now, we need to convert that speed to meters per hour because the car and truck lengths are given in meters. There are 1000 meters in a kilometer and 3600 seconds in an hour, so 50km/h is equal to (50 * 1000) / 3600 = 13.88 m/s.

To calculate the time it takes for the car to overtake the truck, we can use the formula Time = Distance / Speed. Plugging in the values, we get Time = 20m / 13.88 m/s ≈ 1.44 seconds.

So, it will take the car approximately 1.44 seconds to overtake the truck. But be careful, don't try this at a red light!

To calculate the time it will take for the car to overtake the truck, we need to determine the relative speed between them.

The relative speed is the difference between the car's speed and the truck's speed.

Relative speed = Car's speed - Truck's speed
= 100 km/h - 50 km/h
= 50 km/h

Now, we need to calculate the distance the car needs to cover to overtake the truck. It is the sum of the car's initial distance behind the truck and the combined length of the truck and the car.

Total distance to cover = Car's initial distance + Truck's length + Car's length
= 10m + 10m + 3m
= 23m

Finally, we can calculate the time it will take for the car to overtake the truck using the formula:

Time = Distance / Speed
= 23m / (50 km/h)
≈ 0.46 h

Therefore, it will take approximately 0.46 hours (or 27.6 minutes) for the car to overtake the truck.

To find out how long it will take for the car to overtake the truck, we need to determine the distance it needs to cover first.

Let's denote:
- Car length = Lc = 3m
- Truck length = Lt = 10m
- Car velocity = Vc = 100km/h
- Truck velocity = Vt = 50km/h
- Initial distance between the car and the truck = d = 10m

The car needs to cover a distance of (d + Lt) to overtake the truck completely. Therefore, the distance to be covered is (10m + 10m) = 20m.

Now, let's calculate the time it takes for the car to overtake the truck.

Speed is measured in kilometers per hour (km/h), but we need to convert it to meters per second (m/s) for consistency.

Speed in m/s = (Speed in km/h) * (1,000 m / 1 km) * (1 h / 3,600 s)

Therefore,
Vc = 100 km/h * (1,000 m / 1 km) * (1 h / 3,600 s) = 27.8 m/s
Vt = 50 km/h * (1,000 m / 1 km) * (1 h / 3,600 s) = 13.9 m/s

Since both the car and the truck are moving in the same direction, the relative velocity of the car with respect to the truck is:
Relative velocity = Vc - Vt = 27.8 m/s - 13.9 m/s = 13.9 m/s

To calculate the time needed, we use the equation:
Time = Distance / Relative velocity

Therefore,
Time = 20m / 13.9 m/s ≈ 1.44 seconds

So, it will take approximately 1.44 seconds for the car to overtake the truck.

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