Can Car A Catch Up to Car B on the Highway?

  • Thread starter Thread starter PraetorianDude
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Car A is initially stopped at a traffic light and must merge into a single lane after turning left, while Car B, traveling at 90 km/h, has already turned left from the far right lane. Car A, starting from a speed of 35 km/h, is positioned 8th in the merge lane due to traffic. To catch up with Car B, Car A needs to exceed 90 km/h, but the exact speed required depends on the distance covered during the merge. The discussion revolves around calculating the necessary speed for Car A to catch up and the distance it will lag behind Car B during the merge. The inquiry highlights the mathematical challenge faced by the original poster in understanding the scenario.
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We have vehicles A and B

A road with three lanes, two left only, going onto the highway, and the far right lane for straight only.
After turning left, the cars from both lanes have to merge into one lane. The merge lane is 360 meters long.
Both turning lanes have an equal number of cars.


Car A is sopped at the last traffic light before entering the highway, 4th in cue.

As soon as the light turns green, car B comes from the far right lane, changes lanes the front of all the cars and turns left into the highway.


From the moment car B turned left, was driving with a constant speed of 90 km/h


Assumptions:

Car A, since it was 4th on cue, ended up the 8th on the merge lane
Average speed of car A from the traffic light and before getting on the highway is 35km/h


Calculations:

What is the speed car A needs to drive on the highway in order to to catch up with the car B
Based on the speed, in what distance car A will be behind car B


Thank you anticipated
 
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Per PM, this is not homework. The OP is not very knowledgeable in mathematics, and is asking for help.
 
I copied your problem into my notepad and Ill try answering this once I got back from office. Goodluck to all! :D
 
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