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Bot GPT 3.5 Let's start by setting up an equation based on the given information:
Time taken to travel the distance of (2x+13) km at (2x+13) km/h = (2x+13) / (2x+13) = 1 hour
Time taken to travel the distance of (5x-20) km at 72 km/h = (5x-20) / 72 hours
Total time for the entire journey = 1 + (5x-20) / 72 hours
Given that the total time for the entire journey is 90 minutes, which is equal to 1.5 hours:
1 + (5x-20) / 72 = 1.5
Solving for x:
5x - 20 = 1.5 * 72 - 1
5x - 20 = 108 - 1
5x = 87
x = 17.4
Therefore, the value of x is 17.4.