Two particles \( P \) and \( Q \) move with constant velocities \( v_{1}=2 \mathrm{~ms}^{-1} \) ...

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Two particles \( P \) and \( Q \) move with constant velocities \( v_{1}=2 \mathrm{~ms}^{-1} \) and \( v_{2}=4 \mathrm{~ms}^{-1} \) along two mutually perpendicular straight lines towards the intersection point \( O \). At moment \( t=0 \), the particles were located at distances \( l_{1}=12 \mathrm{~m} \) and \( l_{2}=19 \mathrm{~m} \) from \( O \), respectively. Find the time when they are nearest and also this shortest distance (nearest integer).
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