Two particles are moving along two long straight lines, in the same plane with same speed equal ...

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Two particles are moving along two long straight lines, in the same plane with same speed equal to \( 20 \mathrm{~cm} / \mathrm{s} \). The angle between the two lines is \( 60^{\circ} \) and their intersection point is \( O \). At a certain moment, the two particles are located at distances \( 3 \mathrm{~m} \) and \( 4 \mathrm{~m} \) from \( O \) and are moving towards \( O \). Subsequently, the shortest distance between them will be
(a) \( 50 \mathrm{~cm} \)
(b) \( 40 \sqrt{2} \mathrm{~cm} \)
(c) \( 50 \sqrt{2} \mathrm{~cm} \)
(d) \( 50 \sqrt{3} \mathrm{~cm} \)
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