At 11 45, Ethan left Town D for Town E, driving at a speed of 89 km/h. At 14 45, Harry also left Town D for Town E driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 45, both of them passed a school that was 267 km away from Town E. How many minutes earlier did Harry reach Town E than Ethan?
Duration that Ethan travelled from 11 45 to 17 45 = 6 h
Distance that Ethan travelled
= 6 x 89
= 534 km
Distance between Town D and Town E
= 534 + 267
= 801 km
Since Harry passed the school at the same time as Ethan, it means that Harry travelled 534 km in 3 hours.
Harry's speed during the journey
= 534 ÷ 3
= 178 km/h
Duration that Harry took to reach Town E after passing the school
= 267 ÷ 178
= 1.5 h
Duration that Ethan took to reach Town E after passing the school
= 267 ÷ 89
= 3 h
Difference between the time they took to reach Town E
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Harry reached Town E 90 minutes earlier than Ethan.
Answer(s): 90 min