# Train from Brno

The first train started from Brno at 8 AM at 60 km per hour. The second train started from Opava at 7 o'clock at the speed of 40 kilometers per hour. In how many hours and how far from cities trains meet when the distance of cities is 200 kilometers.

Result

t = 9:36 h
b =  96 km
o =  104 km

### Step-by-step explanation:

b+o = 200
b = 60(t-8)
o = 40(t-7)

b+o = 200
b = 60·(t-8)
o = 40·(t-7)

b+o = 200
b-60t = -480
o-40t = -280

Row 2 - Row 1 → Row 2
b+o = 200
-o-60t = -680
o-40t = -280

Row 3 + Row 2 → Row 3
b+o = 200
-o-60t = -680
-100t = -960

t = -960/-100 = 9.6
o = -680+60t/-1 = -680+60 · 9.6/-1 = 104
b = 200-o = 200-104 = 96

b = 96
o = 104
t = 48/5 = 9.6

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