Time For A Car To Reach A Truck

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A car traveling at 88 km/h is initially 110 meters behind a truck moving at 15 km/h, leading to a discussion on how long it will take the car to catch up. The original solution was incorrect due to a miscalculation of the truck's speed, initially noted as 75 km/h instead of 15 km/h. After recalculating, the correct time for the car to reach the truck is determined to be 30.6 seconds. The participant acknowledges an algebraic error in their initial attempt and expresses gratitude for the assistance. The conversation highlights the importance of accurate data in solving physics problems.
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The problems states as follows: A car traveling at 88 km/h is 110 m behind a truck traveling 15 km/h. How long will it take the car to reach the truck? I attached my solution to the
problem, which is incorrect; though it is wrong, I was just wondering if anyone could provide their interpretation of my attempt at this problem--that is, what did I actually solve for?
 

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While your method is correct, you have calculated the truck speed incorrectly. Truck speed is 15 kph not 75 kph.
 
I am dreadfully sorry, I copied down the problem wrong; the speed of the truck is supposed to be 75 km/h
 
What did you arrive at for a time?
 
I got 30.6 s--which is actually the answer. Well, this is rather embarrassing; I must have made some algebraic error the first time around calculating it, because I am getting the correct answer now. Sorry everybody, and thank you for your help.
 
Good...you are correct.
 
Last edited:

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