Methodology
I turned my variables of interest, namely trip duration and age to categorical ones and run a chi sq statistical test to achieve my objectives, assuming the trip duration data to be normally distributed. I also carried out a test of independence to rule out the possibility of dependence between my variables of interest.
Conclusion
The outcome of my mini project confirmed that my hypothesis can be rejected since I got a p-value of zero. It might make more sense to widen the age bracket and re-test the hypothesis in the future.
My final findings are summarized below.