At 14 45, Carl left Town B for Town C, driving at a speed of 75 km/h. At 16 45, Ethan also left Town B for Town C driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 45, both of them passed a market that was 225 km away from Town C. How many minutes earlier did Ethan reach Town C than Carl?
Duration that Carl travelled from 14 45 to 18 45 = 4 h
Distance that Carl travelled
= 4 x 75
= 300 km
Distance between Town B and Town C
= 300 + 225
= 525 km
Since Ethan passed the market at the same time as Carl, it means that Ethan travelled 300 km in 2 hours.
Ethan's speed during the journey
= 300 ÷ 2
= 150 km/h
Duration that Ethan took to reach Town C after passing the market
= 225 ÷ 150
= 1.5 h
Duration that Carl took to reach Town C after passing the market
= 225 ÷ 75
= 3 h
Difference between the time they took to reach Town C
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Ethan reached Town C 90 minutes earlier than Carl.
Answer(s): 90 min