At 12 45, Tommy left Town N for Town P, driving at a speed of 66 km/h. At 14 45, Billy 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 45, both of them passed a florist that was 132 km away from Town P. How many minutes earlier did Billy reach Town P than Tommy?
Duration that Tommy travelled from 12 45 to 17 45 = 5 h
Distance that Tommy travelled
= 5 x 66
= 330 km
Distance between Town N and Town P
= 330 + 132
= 462 km
Since Billy passed the florist at the same time as Tommy, it means that Billy travelled 330 km in 3 hours.
Billy's speed during the journey
= 330 ÷ 3
= 110 km/h
Duration that Billy took to reach Town P after passing the florist
= 132 ÷ 110
= 1.2 h
Duration that Tommy took to reach Town P after passing the florist
= 132 ÷ 66
= 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
Billy reached Town P 48 minutes earlier than Tommy.
Answer(s): 48 min