At 14 25, Luis left Town W for Town X, driving at a speed of 86 km/h. At 17 25, Archie also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 20 25, both of them passed a mosque that was 258 km away from Town X. How many minutes earlier did Archie reach Town X than Luis?
Duration that Luis travelled from 14 25 to 20 25 = 6 h
Distance that Luis travelled
= 6 x 86
= 516 km
Distance between Town W and Town X
= 516 + 258
= 774 km
Since Archie passed the mosque at the same time as Luis, it means that Archie travelled 516 km in 3 hours.
Archie's speed during the journey
= 516 ÷ 3
= 172 km/h
Duration that Archie took to reach Town X after passing the mosque
= 258 ÷ 172
= 1.5 h
Duration that Luis took to reach Town X after passing the mosque
= 258 ÷ 86
= 3 h
Difference between the time they took to reach Town X
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Archie reached Town X 90 minutes earlier than Luis.
Answer(s): 90 min