# Cyclist vs car

Cyclist rode out of the city at 18 km/h. 1 hour 30 minutes behind him started car and caught up with the cyclist in 50 minutes.
How fast was driving the car? Where (what kilometer) from the city car overtook a cyclist?

Result

v =  50.4 km/h
s =  42 km

#### Solution:

s = 18*(1+30/60+50/60)
s = v *(50/60)

60s = 2520
60s-50v = 0

s = 42
v = 2525 = 50.4

Calculated by our linear equations calculator.
$s=18 \cdot \ (1+30/60+50/60)=42 \ \text{km}$

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