At 14 15, Carl left Town G for Town H, driving at a speed of 60 km/h. At 16 15, Charlie also left Town G for Town H driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 15, both of them passed a school that was 180 km away from Town H. How many minutes earlier did Charlie reach Town H than Carl?
Duration that Carl travelled from 14 15 to 19 15 = 5 h
Distance that Carl travelled
= 5 x 60
= 300 km
Distance between Town G and Town H
= 300 + 180
= 480 km
Since Charlie passed the school at the same time as Carl, it means that Charlie travelled 300 km in 3 hours.
Charlie's speed during the journey
= 300 ÷ 3
= 100 km/h
Duration that Charlie took to reach Town H after passing the school
= 180 ÷ 100
= 1.8 h
Duration that Carl took to reach Town H after passing the school
= 180 ÷ 60
= 3 h
Difference between the time they took to reach Town H
= 3 - 1.8
= 1.2 h
1 h = 60 min
1.2 h = 1.2 x 60 = 72 min
Charlie reached Town H 72 minutes earlier than Carl.
Answer(s): 72 min