Trouble Solving: Police Car & Stolen Truck

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SUMMARY

The discussion centers on a physics problem involving a police car pursuing a stolen pickup truck. The police car travels at a speed of 34 m/s, while the truck moves at 32 m/s, with a distance of 164 meters separating them. The correct approach to determine the time it takes for the police car to catch up is by using the average speed formula, leading to the conclusion that it will take 82 seconds for the police car to reach the truck.

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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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