At 13 30, Ethan left Town J for Town K, driving at a speed of 66 km/h. At 16 30, Bobby also left Town J for Town K driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 30, both of them passed a cinema that was 264 km away from Town K. How many minutes earlier did Bobby reach Town K than Ethan?
Duration that Ethan travelled from 13 30 to 18 30 = 5 h
Distance that Ethan travelled
= 5 x 66
= 330 km
Distance between Town J and Town K
= 330 + 264
= 594 km
Since Bobby passed the cinema at the same time as Ethan, it means that Bobby travelled 330 km in 2 hours.
Bobby's speed during the journey
= 330 ÷ 2
= 165 km/h
Duration that Bobby took to reach Town K after passing the cinema
= 264 ÷ 165
= 1.6 h
Duration that Ethan took to reach Town K after passing the cinema
= 264 ÷ 66
= 4 h
Difference between the time they took to reach Town K
= 4 - 1.6
= 2.4 h
1 h = 60 min
2.4 h = 2.4 x 60 = 144 min
Bobby reached Town K 144 minutes earlier than Ethan.
Answer(s): 144 min