Another 3251

The car drove from Liberec to Olomouc for 5 hours. Another vehicle drove 12 km more in an hour and made the same journey in 4 hours. How far is it from Liberec to Olomouc?

Correct answer:

x =  240 km

Step-by-step explanation:


x = 5 v
x = 4(v+12)

x = 5·v
x = 4·(v+12)

5v-x = 0
4v-x = -48

Row 2 - 4/5 · Row 1 → Row 2
5v-x = 0
-0.2x = -48


x = -48/-0.2 = 240
v = 0+x/5 = 0+240/5 = 48

v = 48
x = 240

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