Two runners, A and B, cover the same distance at the speeds of 15 km/h, and 16 km/h respectively. If A takes 16 min more than B, then the distance (in km ) is :

Correct option is C

​$$\text{Let the distance be } D\\\frac{D}{15} - \frac{D}{16} = 16 \text{ minutes}\\\frac{16D - 15D}{240} = \frac{16}{60} \text{ hour} \Rightarrow D = \frac{16 \times 240}{60}\\D = 64 \text{ km}$$​​