At 11 10, Luis left Town E for Town F, driving at a speed of 68 km/h. At 14 10, Ben also left Town E for Town F driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 10, both of them passed a museum that was 272 km away from Town F. How many minutes earlier did Ben reach Town F than Luis?
Duration that Luis travelled from 11 10 to 16 10 = 5 h
Distance that Luis travelled
= 5 x 68
= 340 km
Distance between Town E and Town F
= 340 + 272
= 612 km
Since Ben passed the museum at the same time as Luis, it means that Ben travelled 340 km in 2 hours.
Ben's speed during the journey
= 340 ÷ 2
= 170 km/h
Duration that Ben took to reach Town F after passing the museum
= 272 ÷ 170
= 1.6 h
Duration that Luis took to reach Town F after passing the museum
= 272 ÷ 68
= 4 h
Difference between the time they took to reach Town F
= 4 - 1.6
= 2.4 h
1 h = 60 min
2.4 h = 2.4 x 60 = 144 min
Ben reached Town F 144 minutes earlier than Luis.
Answer(s): 144 min