Trouble Solving: Police Car & Stolen Truck

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A police car is chasing a stolen pickup truck, with the police car traveling at 34 m/s and the truck at 32 m/s, while the police car is 164 meters behind. To determine how long it will take for the police to catch up, the average speed difference is used, leading to the equation 34 m/s - 32 m/s = 164 m/t. Solving for time gives t = 82 seconds. The solution highlights the importance of using the correct formula for average speed in such problems.
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1. Homework Statement :
A police car is in pursuit of a stolen pickup truck. At one instant, the car has a speed of 34m/s and is 164m behind the truck. At the same time, the truck has a speed of 32m/s. If neither vehicle accelerates, how long will it take the police to catch up to the truck?


2. Homework Equations :
Δy=vit+1/2at^2

3. The Attempt at a Solution
i used this equation but got the answer wrong a lot of times. i don't understand any questions of this nature.
 
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You're using the wrong equation, use the definition for average speed instead
 
Δsp=Δd/Δt

so i get 34-32=164/t
so t equals 82 seconds?
 
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