First train

In 1839, the first train went from Vienna to Brno, and in 1845 to Prague. It took, however, more than 50 years before the first Czech locomotives came out onto the tracks. The first Czech-Moravian factory for machines left the first Czech locomotive on 26.4.1900. For each kilometre of ascent this locomotive used 22 kg of coal, for each kilometre of descent and travel on level ground 10 kg of coal. On a track 62 km long, the engine driver and his assistant, who had his birthday the day before yesterday, burned 800 kg of coal. The engine driver was called Tomáš and had 4 daughters. How many kilometres of ascent were there on the track, if they passed through 15 stations, and only at 3 they stopped?

Final Answer:

a =  15 km

Step-by-step explanation:


800=22a+10b
a+b = 62

800=22·a+10·b
a+b = 62

22a+10b = 800
a+b = 62

Row 2 - 1/22 · Row 1 → Row 2
22a+10b = 800
0.55b = 25.64


b = 25.63636364/0.54545455 = 47
a = 800-10b/22 = 800-10 · 47/22 = 15

a = 15
b = 47

Our linear equations calculator calculates it.



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