Relative Speed Problem: Two-Way Journey

A sports car leaves from Town \(A\) to Town \(B\), which are \(400\) km apart, at an constant speed of \(65\) km/h. At the same time, a lorry leaves from Town \(B\) to Town \(A\) at \(35\) km/h, travelling along the same road as the sports car. Determine the time which the two vehicles would meet if they started their journeys at \(7\) am.

Both vehicles maintain their stated constant speeds until they meet.