Pedestrian up-down hill

Pedestrian goes for a walk first at plane at 4 km/h, then uphill 3 km/h. Then it is in the middle of the route, turns back and goes downhill at speed 6 km/h. Total walk was 6 hours. How many kilometers went pedestrian?

Correct result:

s =  24 km

Solution:


6 = a+b+c+d
s = 4a+3b+6c+4d
4a=4d
3b=6c
a=0


6 = a+b+c+d
s = 4•a+3•b+6•c+4•d
4•a=4•d
3•b=6•c
a=0

a+b+c+d = 6
4a+3b+6c+4d-s = 0
4a-4d = 0
3b-6c = 0
a = 0

b = 4
c = 2
d = 0
s = 24

Our linear equations calculator calculates it.



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