At 12 40, Warren left Town A for Town B, driving at a speed of 66 km/h. At 15 40, Vincent also left Town A for Town B driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 40, both of them passed a library that was 264 km away from Town B. How many minutes earlier did Vincent reach Town B than Warren?
Duration that Warren travelled from 12 40 to 17 40 = 5 h
Distance that Warren travelled
= 5 x 66
= 330 km
Distance between Town A and Town B
= 330 + 264
= 594 km
Since Vincent passed the library at the same time as Warren, it means that Vincent travelled 330 km in 2 hours.
Vincent's speed during the journey
= 330 ÷ 2
= 165 km/h
Duration that Vincent took to reach Town B after passing the library
= 264 ÷ 165
= 1.6 h
Duration that Warren took to reach Town B after passing the library
= 264 ÷ 66
= 4 h
Difference between the time they took to reach Town B
= 4 - 1.6
= 2.4 h
1 h = 60 min
2.4 h = 2.4 x 60 = 144 min
Vincent reached Town B 144 minutes earlier than Warren.
Answer(s): 144 min
