How long it takes for a car to catch a truck

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A car traveling at 91 km/h is 200 meters behind a truck moving at 81 km/h. The car is 10 km/h faster than the truck, which translates to approximately 2.78 m/s. To determine how long it takes the car to catch up, the distance of 200 meters is divided by the speed difference of 2.78 m/s. This calculation results in approximately 72 seconds for the car to reach the truck. Understanding unit conversions is crucial for accurate problem-solving in physics.
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Homework Statement


A car traveling 91 km/h is 200m behind a truck traveling 81 km/h . How long will it take the car to reach the truck?

Homework Equations





The Attempt at a Solution

 
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Pioneer98 said:

Homework Statement


A car traveling 91 km/h is 200m behind a truck traveling 81 km/h . How long will it take the car to reach the truck?

Homework Equations



The Attempt at a Solution

Hello Pioneer98. Welcome to PF !

What have you tried?

Where are you stuck?
 
I'm actually not even sure where to start. My professor gave us four kinematic equations to memorize and use. I know how to use those, but the things he went over in class are totally different from the online homework.
 
Motion is always relative. The car is traveling at 10 km/hr faster than the truck. How long will it take to cover 200 m?
 
20 seconds?
 
Pioneer98 said:
20 seconds?
That would be true if car were traveling 10 m/s faster than the truck. Units matter !

Convert 10 km/hr to m/s .
 
10,000 m/hr, 2 7/9 m/s, so it takes 72 seconds for the car to reach the truck. Thanks for the help guys!
 

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