# Motion problem

From Levíc to Košíc go car at speed 81 km/h.
From Košíc to Levíc go another car at speed 69 km/h.

How many minutes before the meeting will be cars 27 km away?

Correct result:

t =  10.8 min

#### Solution:

$v_{1}=81 \ \text{km/h} \ \\ v_{2}=69 \ \text{km/h} \ \\ s=27 \ \text{km} \ \\ \ \\ v=v_{1}+v_{2}=81+69=150 \ \text{km/h} \ \\ t_{1}=\dfrac{ s }{ v }=\dfrac{ 27 }{ 150 }=\dfrac{ 9 }{ 50 }=0.18 \ \text{h} \ \\ t=t_{1} \rightarrow h=t_{1} \cdot \ 60 \ h=0.18 \cdot \ 60 \ h=10.8 \ h=\dfrac{ 54 }{ 5 }=10.8 \ \text{min}$ 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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