At 11 20, Carl left Town N for Town P, driving at a speed of 78 km/h. At 12 20, Reggie also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 20, both of them passed a bank that was 156 km away from Town P. How many minutes earlier did Reggie reach Town P than Carl?
Duration that Carl travelled from 11 20 to 15 20 = 4 h
Distance that Carl travelled
= 4 x 78
= 312 km
Distance between Town N and Town P
= 312 + 156
= 468 km
Since Reggie passed the bank at the same time as Carl, it means that Reggie travelled 312 km in 3 hours.
Reggie's speed during the journey
= 312 ÷ 3
= 104 km/h
Duration that Reggie took to reach Town P after passing the bank
= 156 ÷ 104
= 1.5 h
Duration that Carl took to reach Town P after passing the bank
= 156 ÷ 78
= 2 h
Difference between the time they took to reach Town P
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Reggie reached Town P 30 minutes earlier than Carl.
Answer(s): 30 min