Two particles A and B are moving around a circular path of radius $$35\text{ m}$$ at $$2.2\text{ m/s}$$ and $$4.4\text{ m/s}$$ respectively and are located as shown (Figure A, below) at a certain moment. Find the time elapsed before they meet. Also find the angle covered by A in this duration.
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PLACEHOLDER ANSWER - the question has two answers. In the figure both move anticlockwise and B is a quarter circle behind A, an arc of $$\frac{1}{4} \times 2 \times \frac{22}{7} \times 35 = 55\text{ m}$$. B gains on A at $$4.4 - 2.2 = 2.2\text{ m/s}$$, so they meet after $$\frac{55}{2.2} = 25\text{ s}$$. In this time A covers $$2.2 \times 25 = 55\text{ m}$$, a quarter circle, i.e. an angle of $$90^\circ$$ ($$\frac{\pi}{2}$$ radian).