Ascent and descent

Car goes 114 km track, which consists of ascent and descent at time of 1 hour 35 minutes. When climbing moves at the speed 48 km/h and downhill 25 m/s. What is the length of climb and descent?

Correct result:

a =  32.5714 km
b =  81.4286 km

Solution:


a+b=114
a/48 +b / (25•3.6) = 1+35/60

a+b = 114
5a+2.666667b = 380

a = 228/7 ≈ 32.571429
b = 570/7 ≈ 81.428571

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