At 12 35, Vincent left Town E for Town F, driving at a speed of 60 km/h. At 15 35, Luis also left Town E for Town F driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 35, both of them passed a cafe that was 180 km away from Town F. How many minutes earlier did Luis reach Town F than Vincent?
Duration that Vincent travelled from 12 35 to 17 35 = 5 h
Distance that Vincent travelled
= 5 x 60
= 300 km
Distance between Town E and Town F
= 300 + 180
= 480 km
Since Luis passed the cafe at the same time as Vincent, it means that Luis travelled 300 km in 2 hours.
Luis's speed during the journey
= 300 ÷ 2
= 150 km/h
Duration that Luis took to reach Town F after passing the cafe
= 180 ÷ 150
= 1.2 h
Duration that Vincent took to reach Town F after passing the cafe
= 180 ÷ 60
= 3 h
Difference between the time they took to reach Town F
= 3 - 1.2
= 1.8 h
1 h = 60 min
1.8 h = 1.8 x 60 = 108 min
Luis reached Town F 108 minutes earlier than Vincent.
Answer(s): 108 min