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$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of $1.4$ m/s while $\text{B}$ walks at a speed of $2.1$ m/s.

If $\text{A}$ and $\text{B}$ simultaneously start walking East and South respectively, then which of the following is true of the distance of closest approach $‘d_1\text{’}$ between them?

  1. $d_1>5$ m
  2. $d_1<5$ m
  3. $d_1=5$ m
  4. Cannot be determined
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