Hi All, I’ve got a rather confusing problem on my hands. I believe I’m over complicating it with velocity-time graphs and simultaneous equations, but I’m not sure.

*A person walks 50km in 4hrs. They start off walking 7km at a rate of x km/h. Then they ride a bike at 4x km/h for another 7km. Lastly, they drive a car the remaining distance at (6x+3) km/h. What is the value of x km/h?*

Ans: x=3.5 km/h

My intial thinking was to do a velocity-time graph and use the area as mentioned, but that fell short when I introduced t1 and t2, respective times for when the person changes their transport. Then I tried solving it simultaneously, that got a negative answer. I’m sure that I’ve just overthought it or gone down a rabbit-hole.

I’d much appreciate if someone could help out. Thank you!!!