The new stopping distance is 152.6 m
Explanation:
The motion of the car is a uniformly accelerated motion, so we can use the following SUVAT equation:

where in the initial situation, we have:
v = 0 is the final velocity of the car
u = 43 km/h = 11.9 m/s is the initial velocity
s = 17 m is the stopping distance
a is the acceleration
Solving for a, we find the acceleration:

The acceleration depends only on the sliding friction: this means that it is constant also in the second situation, where we have
u = 129 km/h = 35.8 m/s
So we can use the same equation again to find s, the new stopping distance:

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