At 14 55, Valen left Town K for Town L, driving at a speed of 84 km/h. At 16 55, Vincent also left Town K for Town L driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 55, both of them passed a farm that was 252 km away from Town L. How many minutes earlier did Vincent reach Town L than Valen?
Duration that Valen travelled from 14 55 to 19 55 = 5 h
Distance that Valen travelled
= 5 x 84
= 420 km
Distance between Town K and Town L
= 420 + 252
= 672 km
Since Vincent passed the farm at the same time as Valen, it means that Vincent travelled 420 km in 3 hours.
Vincent's speed during the journey
= 420 ÷ 3
= 140 km/h
Duration that Vincent took to reach Town L after passing the farm
= 252 ÷ 140
= 1.8 h
Duration that Valen took to reach Town L after passing the farm
= 252 ÷ 84
= 3 h
Difference between the time they took to reach Town L
= 3 - 1.8
= 1.2 h
1 h = 60 min
1.2 h = 1.2 x 60 = 72 min
Vincent reached Town L 72 minutes earlier than Valen.
Answer(s): 72 min