At 10 20, Vincent left Town S for Town T, driving at a speed of 90 km/h. At 11 20, Archie also left Town S for Town T driving at a certain speed. Both of them did not change their speed throughout the journey. At 14 20, both of them passed a farm that was 180 km away from Town T. How many minutes earlier did Archie reach Town T than Vincent?

Distance that Vincent travelled
= 4 x 90
= 360 km

Distance between Town S and Town T
= 360 + 180
= 540 km

Since Archie passed the farm at the same time as Vincent, it means that Archie travelled 360 km in 3 hours.

Archie's speed during the journey
= 360 ÷ 3
= 120 km/h

Duration that Archie took to reach Town T after passing the farm
= 180 ÷ 120
= 1.5 h

Duration that Vincent took to reach Town T after passing the farm
= 180 ÷ 90
= 2 h

Difference between the time they took to reach Town T
= 2 - 1.5
= 0.5 h

1 h = 60 min
0.5 h = 0.5 x 60 = 30 min

Archie reached Town T 30 minutes earlier than Vincent.

Answer(s): 30 min