At 08 00, Patrick and John travelled from Town A to Town B at constant speeds. They travelled along the same route. Patrick travelled at 25 km/h faster than John. When Patrick reached the mid-point between Town A and Town B, John was 30 km away from the mid-point. At what time did Patrick reach Town B?

1. Determine the time taken for Patrick to reach the mid-point

Difference in distance between Patrick and John at the mid-point = $30$ km.
Difference in speed = $25$ km/h.
Time taken to reach the mid-point = $\frac{30}{25} = 1.2$ hours.

2. Calculate the total time taken for Patrick to reach Town B

Total time taken = $1.2 \times 2 = 2.4$ hours.

3. Convert the total time into hours and minutes and find the arrival time

$2.4$ hours = $2$ hours and $24$ minutes.
Starting time = $08\ 00$.
Arrival time = $08\ 00 + 2$ h $24$ min = $10\ 24$.