At 14 40, Archie left Town T for Town U, driving at a speed of 88 km/h. At 15 40, Elijah also left Town T for Town U driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 40, both of them passed a bank that was 176 km away from Town U. How many minutes earlier did Elijah reach Town U than Archie?
Duration that Archie travelled from 14 40 to 19 40 = 5 h
Distance that Archie travelled
= 5 x 88
= 440 km
Distance between Town T and Town U
= 440 + 176
= 616 km
Since Elijah passed the bank at the same time as Archie, it means that Elijah travelled 440 km in 4 hours.
Elijah's speed during the journey
= 440 ÷ 4
= 110 km/h
Duration that Elijah took to reach Town U after passing the bank
= 176 ÷ 110
= 1.6 h
Duration that Archie took to reach Town U after passing the bank
= 176 ÷ 88
= 2 h
Difference between the time they took to reach Town U
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Elijah reached Town U 24 minutes earlier than Archie.
Answer(s): 24 min
