At 10 25, Caden left Town W for Town X, driving at a speed of 78 km/h. At 12 25, Harry also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 14 25, both of them passed a library that was 234 km away from Town X. How many minutes earlier did Harry reach Town X than Caden?
Duration that Caden travelled from 10 25 to 14 25 = 4 h
Distance that Caden travelled
= 4 x 78
= 312 km
Distance between Town W and Town X
= 312 + 234
= 546 km
Since Harry passed the library at the same time as Caden, it means that Harry travelled 312 km in 2 hours.
Harry's speed during the journey
= 312 ÷ 2
= 156 km/h
Duration that Harry took to reach Town X after passing the library
= 234 ÷ 156
= 1.5 h
Duration that Caden took to reach Town X after passing the library
= 234 ÷ 78
= 3 h
Difference between the time they took to reach Town X
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Harry reached Town X 90 minutes earlier than Caden.
Answer(s): 90 min