At 10 25, George left Town J for Town K, driving at a speed of 100 km/h. At 11 25, Ethan also left Town J for Town K driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 25, both of them passed a museum that was 200 km away from Town K. How many minutes earlier did Ethan reach Town K than George?
Duration that George travelled from 10 25 to 15 25 = 5 h
Distance that George travelled
= 5 x 100
= 500 km
Distance between Town J and Town K
= 500 + 200
= 700 km
Since Ethan passed the museum at the same time as George, it means that Ethan travelled 500 km in 4 hours.
Ethan's speed during the journey
= 500 ÷ 4
= 125 km/h
Duration that Ethan took to reach Town K after passing the museum
= 200 ÷ 125
= 1.6 h
Duration that George took to reach Town K after passing the museum
= 200 ÷ 100
= 2 h
Difference between the time they took to reach Town K
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Ethan reached Town K 24 minutes earlier than George.
Answer(s): 24 min