At 12 25, Tim left Town N for Town P, driving at a speed of 76 km/h. At 13 25, Perry also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 25, both of them passed a cafe that was 152 km away from Town P. How many minutes earlier did Perry reach Town P than Tim?
Duration that Tim travelled from 12 25 to 17 25 = 5 h
Distance that Tim travelled
= 5 x 76
= 380 km
Distance between Town N and Town P
= 380 + 152
= 532 km
Since Perry passed the cafe at the same time as Tim, it means that Perry travelled 380 km in 4 hours.
Perry's speed during the journey
= 380 ÷ 4
= 95 km/h
Duration that Perry took to reach Town P after passing the cafe
= 152 ÷ 95
= 1.6 h
Duration that Tim took to reach Town P after passing the cafe
= 152 ÷ 76
= 2 h
Difference between the time they took to reach Town P
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Perry reached Town P 24 minutes earlier than Tim.
Answer(s): 24 min