At 11 45, Ethan left Town X for Town Y, driving at a speed of 77 km/h. At 14 45, Zane also left Town X for Town Y driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 45, both of them passed a bank that was 231 km away from Town Y. How many minutes earlier did Zane reach Town Y than Ethan?
Duration that Ethan travelled from 11 45 to 17 45 = 6 h
Distance that Ethan travelled
= 6 x 77
= 462 km
Distance between Town X and Town Y
= 462 + 231
= 693 km
Since Zane passed the bank at the same time as Ethan, it means that Zane travelled 462 km in 3 hours.
Zane's speed during the journey
= 462 ÷ 3
= 154 km/h
Duration that Zane took to reach Town Y after passing the bank
= 231 ÷ 154
= 1.5 h
Duration that Ethan took to reach Town Y after passing the bank
= 231 ÷ 77
= 3 h
Difference between the time they took to reach Town Y
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Zane reached Town Y 90 minutes earlier than Ethan.
Answer(s): 90 min
