Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at $9{:}35\,\text{a.m.}$ and runs at an average rate of $7$ miles per hour $(\text{mph})$. Ji-Hun starts at $10{:}00\,\text{a.m.}$ and runs at an average rate of $8\,\text{mph}$. Assuming constant paces and no stops, at what mile will Ji-Hun catch up to Kana? Round your answer to the nearest tenth of a mile. [[☃ numeric-input 1]]