At 14 50, Charlie left Town N for Town P, driving at a speed of 96 km/h. At 16 50, Caden also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 50, both of them passed a farm that was 192 km away from Town P. How many minutes earlier did Caden reach Town P than Charlie?
Duration that Charlie travelled from 14 50 to 19 50 = 5 h
Distance that Charlie travelled
= 5 x 96
= 480 km
Distance between Town N and Town P
= 480 + 192
= 672 km
Since Caden passed the farm at the same time as Charlie, it means that Caden travelled 480 km in 3 hours.
Caden's speed during the journey
= 480 ÷ 3
= 160 km/h
Duration that Caden took to reach Town P after passing the farm
= 192 ÷ 160
= 1.2 h
Duration that Charlie took to reach Town P after passing the farm
= 192 ÷ 96
= 2 h
Difference between the time they took to reach Town P
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Caden reached Town P 48 minutes earlier than Charlie.
Answer(s): 48 min