At 13 20, Andy left Town N for Town P, driving at a speed of 93 km/h. At 15 20, Paul also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 20, both of them passed a mall that was 186 km away from Town P. How many minutes earlier did Paul reach Town P than Andy?
Duration that Andy travelled from 13 20 to 18 20 = 5 h
Distance that Andy travelled
= 5 x 93
= 465 km
Distance between Town N and Town P
= 465 + 186
= 651 km
Since Paul passed the mall at the same time as Andy, it means that Paul travelled 465 km in 3 hours.
Paul's speed during the journey
= 465 ÷ 3
= 155 km/h
Duration that Paul took to reach Town P after passing the mall
= 186 ÷ 155
= 1.2 h
Duration that Andy took to reach Town P after passing the mall
= 186 ÷ 93
= 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
Paul reached Town P 48 minutes earlier than Andy.
Answer(s): 48 min