At 13 50, Vincent left Town W for Town X, driving at a speed of 63 km/h. At 16 50, Julian also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 50, both of them passed a cafe that was 189 km away from Town X. How many minutes earlier did Julian reach Town X than Vincent?
Duration that Vincent travelled from 13 50 to 19 50 = 6 h
Distance that Vincent travelled
= 6 x 63
= 378 km
Distance between Town W and Town X
= 378 + 189
= 567 km
Since Julian passed the cafe at the same time as Vincent, it means that Julian travelled 378 km in 3 hours.
Julian's speed during the journey
= 378 ÷ 3
= 126 km/h
Duration that Julian took to reach Town X after passing the cafe
= 189 ÷ 126
= 1.5 h
Duration that Vincent took to reach Town X after passing the cafe
= 189 ÷ 63
= 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
Julian reached Town X 90 minutes earlier than Vincent.
Answer(s): 90 min