Mira and Amal walking on a circular track

Let $v_A$ and $v_M$ be the speeds of Amal and Mira in rounds per minute.

When walking in the same direction: $45(v_A - v_M) = 3 \implies v_A - v_M = \frac{1}{15}$

When walking in opposite directions, meeting time is 3 minutes: $3(v_A + v_M) = 1 \implies v_A + v_M = \frac{1}{3}$

Subtracting the two equations: $2v_M = \frac{1}{3} - \frac{1}{15} = \frac{4}{15} \implies v_M = \frac{2}{15}\text{ rounds per minute}$

In 60 minutes, Mira walks: $60 \times \frac{2}{15} = 8\text{ rounds}$.