Two persons A and B started from two different places towards each other. If the ratio of their speed is 7:13, then what is the ratio of the distance covered by A and B respectively till the point of meeting?

Correct option is A

​$$\text{Let the speeds of A and B be in the ratio } 7:13. \\\text{So, let } \text{Speed of A} = 7x, \quad \text{Speed of B} = 13x \\[8pt]\text{Let the time taken to meet be } t \text{ (same for both)}. \\[6pt]\text{Distance covered by A} = 7x \times t \\\text{Distance covered by B} = 13x \times t \\[8pt]\text{Ratio of distances covered:} \\\frac{7x \times t}{13x \times t} = \frac{7}{13} \\[8pt]\Rightarrow \text{The required ratio is } \boxed{7:13}.$$​​