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? Ans: ___

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

Patrick travels $25\text{ km/h}$ faster than John.
When Patrick reaches the mid-point, John is $30\text{ km}$ behind him.
The time taken for Patrick to reach the mid-point is the time it takes for the distance gap between them to become $30\text{ km}$.
Time taken to reach mid-point $= \frac{30}{25} = 1.2\text{ hours}$

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

Since Patrick took $1.2\text{ hours}$ to reach the mid-point, he will take another $1.2\text{ hours}$ to travel the remaining half of the journey (as his speed is constant).
Total time taken $= 1.2 \times 2 = 2.4\text{ hours}$

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

$2.4\text{ hours} = 2\text{ hours and } 0.4 \times 60\text{ minutes} = 2\text{ hours } 24\text{ minutes}$.
Starting time is $08\ 00$.
Arrival time $= 08\ 00 + 2\text{ hours } 24\text{ minutes} = 10\ 24$.