At 10 55, Daniel left Town Y for Town Z, driving at a speed of 84 km/h. At 12 55, Archie also left Town Y for Town Z driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 55, both of them passed a salon that was 168 km away from Town Z. How many minutes earlier did Archie reach Town Z than Daniel?

Distance that Daniel travelled
= 5 x 84
= 420 km

Distance between Town Y and Town Z
= 420 + 168
= 588 km

Since Archie passed the salon at the same time as Daniel, it means that Archie travelled 420 km in 3 hours.

Archie's speed during the journey
= 420 ÷ 3
= 140 km/h

Duration that Archie took to reach Town Z after passing the salon
= 168 ÷ 140
= 1.2 h

Duration that Daniel took to reach Town Z after passing the salon
= 168 ÷ 84
= 2 h

Difference between the time they took to reach Town Z
= 2 - 1.2
= 0.8 h

1 h = 60 min
0.8 h = 0.8 x 60 = 48 min

Archie reached Town Z 48 minutes earlier than Daniel.

Answer(s): 48 min