At 12 40, Valen left Town S for Town T, driving at a speed of 89 km/h. At 15 40, 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 18 40, both of them passed a clinic that was 267 km away from Town T. How many minutes earlier did Archie reach Town T than Valen?

Distance that Valen travelled
= 6 x 89
= 534 km

Distance between Town S and Town T
= 534 + 267
= 801 km

Since Archie passed the clinic at the same time as Valen, it means that Archie travelled 534 km in 3 hours.

Archie's speed during the journey
= 534 ÷ 3
= 178 km/h

Duration that Archie took to reach Town T after passing the clinic
= 267 ÷ 178
= 1.5 h

Duration that Valen took to reach Town T after passing the clinic
= 267 ÷ 89
= 3 h

Difference between the time they took to reach Town T
= 3 - 1.5
= 1.5 h

1 h = 60 min
1.5 h = 1.5 x 60 = 90 min

Archie reached Town T 90 minutes earlier than Valen.

Answer(s): 90 min