Train expres

At 8.00 express Tatry started from Bratislava to Poprad. Cities are distant, 340 kilometers. At the same time started from Poprad express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad will trains meet?

Correct answer:

x =  180 km

Step-by-step explanation:


80t + 90t = 340
x = 90t

80·t + 90·t = 340
x = 90·t

170t = 340
90t-x = 0

Row 2 - 90/170 · Row 1 → Row 2
170t = 340
-x = -180


x = -180/-1 = 180
t = 340/170 = 2

t = 2
x = 180

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