How Long Will It Take for the Car to Catch Up to the Truck?

What is the scenario where a car traveling 88 km/h is 250 m behind a truck traveling 71 km/h? How long will it take for the car to reach the truck? The scenario involves a car traveling at 88 km/h being 250 m behind a truck traveling at 71 km/h. To find out how long it will take for the car to catch up to the truck, we need to calculate the time it takes for the car to cover the distance between them.

In this scenario, the car is moving faster than the truck. The relative speed between the car and the truck is the difference in their speeds, which is 88 km/h - 71 km/h = 17 km/h. To make the units consistent, we convert km/h to m/s, making the relative speed 4.72 m/s.

Using the equation distance = speed * time and rearranging to find time, we have time = distance/speed. Therefore, the time it will take for the car to reach the truck is 250 m / 4.72 m/s, which equals approximately 53 seconds.

So, the car, traveling at 88 km/h, will catch up to the truck, traveling at 71 km/h, in approximately 53 seconds. This calculation is based on principles of relative motion, where the relative speed is the difference in speeds and the time is determined by dividing the distance by the relative speed.

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