Ascent and descent

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

a =  32.5714 km
b =  81.4286 km

Step-by-step explanation:

a+b=114
a/48 +b / (25·3.6) = 1+35/60

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

Pivot: Row 1 ↔ Row 2
5a+2.67b = 380
a+b = 114

Row 2 - 1/5 · Row 1 → Row 2
5a+2.67b = 380
0.47b = 38

b = 38/0.46666667 = 81.42857143
a = 380-2.6666666666667b/5 = 380-2.66666667 · 81.42857143/5 = 32.57142857

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

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