# 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?

Result

v =  108 km/h

#### Solution:

$s_{ 1 } = s_{ 2 } \ \\ \ \\ t = 12 \ s = 12 / 3600 \ h = 0.00333333333333 \ h \ \\ s_{ 0 } = 120 \ m = 120 / 1000 \ km = 0.12 \ km \ \\ \ \\ \ \\ 72 \cdot \ t+s_{ 0 } = v \cdot \ t \ \\ \ \\ 72 \cdot \ 0.00333333333333+0.12 = v \cdot \ 0.00333333333333 \ \\ \ \\ 0.003333v = 0.36 \ \\ \ \\ v = 108 \ \\ = 108 \ \text { km/h }$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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