Cheetah vs antelope

When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope was running at 72km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running?

Correct result:

v =  108 km/h

Solution:

s1=s2  t=12 sh=12/3600 h=0.00333 h s0=120 mkm=120/1000 km=0.12 km   72 t+s0=v t  72 0.0033333333333333+0.12=v 0.0033333333333333  0.003333v=0.36  v=108 km/hs_{1}=s_{2} \ \\ \ \\ t=12 \ s \rightarrow h=12 / 3600 \ h=0.00333 \ h \ \\ s_{0}=120 \ m \rightarrow km=120 / 1000 \ km=0.12 \ km \ \\ \ \\ \ \\ 72 \cdot \ t+s_{0}=v \cdot \ t \ \\ \ \\ 72 \cdot \ 0.0033333333333333+0.12=v \cdot \ 0.0033333333333333 \ \\ \ \\ 0.003333v=0.36 \ \\ \ \\ v=108 \ \text{km/h}



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