# Truck

In 7 hours, we started from the town Krnov truck at a speed of 40 km/h. Passenger car started against it in 8 hours 30 minutes from the city of Jihlava at a speed of 70 km/h. The distance between these two cities is 225 km. At what time and distance do these two cars meet from Krnov? Sketch the situation.

Result

t = 10:00 h
s =  120 km

### Step-by-step explanation:

225 = 40x + 70(x-1.5)
s = 40x
t = 7+x

225 = 40·x + 70·(x-1.5)
s = 40·x
t = 7+x

110x = 330
s-40x = 0
t-x = 7

Pivot: Row 1 ↔ Row 2
s-40x = 0
110x = 330
t-x = 7

Pivot: Row 2 ↔ Row 3
s-40x = 0
t-x = 7
110x = 330

x = 330/110 = 3
t = 7+x = 7+3 = 10
s = 0+40x = 0+40 · 3 = 120

s = 120
t = 10
x = 3

Our linear equations calculator calculates it.

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