How Long Will It Take a Car Traveling 96 km/h to Reach a Truck Traveling 71 km/h?
Calculation of Time Required for the Car to Reach the Truck
A car traveling 96 km/h is 110 m behind a truck traveling 71 km/h. The question is, how long will it take the car to reach the truck?
Final answer: The time it will take for the car to reach the truck is calculated by using the concepts of relative speed and distance. The relative speed is the difference in their speeds and then the time is found by dividing the given distance by this relative speed. The calculated time is approximately 15.85 seconds.
Explanation:
To solve this problem, we would use the concepts of relative speed and distance. The relative speed of the car to the truck is the difference in their speeds, which is 96 km/h - 71 km/h = 25 km/h. However, the speeds are given in km/h and the distance is given in meters. To maintain consistency of units, we need to convert the speed from km/h to m/s by multiplying by 1000 (to convert kilometers to meters) and dividing by 3600 (to convert hours to seconds). So, the relative speed becomes 25 * 1000 / 3600 = 6.94 m/s. Now we can use the formula Time = Distance / Speed to find the required time. Plugging in the values, we get Time = 110 m / 6.94 m/s = 15.85 seconds.
A car traveling 96 km/h is 110 m behind a truck traveling 71 km/h. How long will it take the car to reach the truck? The time it will take for the car to reach the truck is approximately 15.85 seconds. This is calculated using the concepts of relative speed and distance, where the relative speed is the difference in their speeds and the time is found by dividing the given distance by this relative speed.