# Particles P and Q are in motion. Particle P is moving with a veloctiy of 10root3 km/hr towards west, and particle Q is moving with a velocity of 10 km /hr towards north. If the initial distance between the two particles is 20 km, then calcate the shortest distance between the particles.??

Dear Student,

Given,
Velocity of the P is 10$\sqrt{3}$ km/h.
​Velocity of Q is 10 km/h.

Let t be the time passed distance covered by P = 10$\sqrt{3}$t and distance covered by Q = 10t

Distance (S) between the ships is given by

Putting this value in equation (i), we get

Regards,

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