At 13 50, Fabian left Town T for Town U, driving at a speed of 89 km/h. At 15 50, Jeremy also left Town T for Town U driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 50, both of them passed a bakery that was 267 km away from Town U. How many minutes earlier did Jeremy reach Town U than Fabian?
Duration that Fabian travelled from 13 50 to 17 50 = 4 h
Distance that Fabian travelled
= 4 x 89
= 356 km
Distance between Town T and Town U
= 356 + 267
= 623 km
Since Jeremy passed the bakery at the same time as Fabian, it means that Jeremy travelled 356 km in 2 hours.
Jeremy's speed during the journey
= 356 ÷ 2
= 178 km/h
Duration that Jeremy took to reach Town U after passing the bakery
= 267 ÷ 178
= 1.5 h
Duration that Fabian took to reach Town U after passing the bakery
= 267 ÷ 89
= 3 h
Difference between the time they took to reach Town U
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Jeremy reached Town U 90 minutes earlier than Fabian.
Answer(s): 90 min