At 10 55, Harry left Town N for Town P, driving at a speed of 99 km/h. At 12 55, Daniel 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 55, both of them passed a bank that was 198 km away from Town P. How many minutes earlier did Daniel reach Town P than Harry?
Duration that Harry travelled from 10 55 to 15 55 = 5 h
Distance that Harry travelled
= 5 x 99
= 495 km
Distance between Town N and Town P
= 495 + 198
= 693 km
Since Daniel passed the bank at the same time as Harry, it means that Daniel travelled 495 km in 3 hours.
Daniel's speed during the journey
= 495 ÷ 3
= 165 km/h
Duration that Daniel took to reach Town P after passing the bank
= 198 ÷ 165
= 1.2 h
Duration that Harry took to reach Town P after passing the bank
= 198 ÷ 99
= 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
Daniel reached Town P 48 minutes earlier than Harry.
Answer(s): 48 min