At 14 40, Ryan left Town N for Town P, driving at a speed of 90 km/h. At 16 40, 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 18 40, both of them passed a boutique that was 270 km away from Town P. How many minutes earlier did Daniel reach Town P than Ryan?
Duration that Ryan travelled from 14 40 to 18 40 = 4 h
Distance that Ryan travelled
= 4 x 90
= 360 km
Distance between Town N and Town P
= 360 + 270
= 630 km
Since Daniel passed the boutique at the same time as Ryan, it means that Daniel travelled 360 km in 2 hours.
Daniel's speed during the journey
= 360 ÷ 2
= 180 km/h
Duration that Daniel took to reach Town P after passing the boutique
= 270 ÷ 180
= 1.5 h
Duration that Ryan took to reach Town P after passing the boutique
= 270 ÷ 90
= 3 h
Difference between the time they took to reach Town P
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Daniel reached Town P 90 minutes earlier than Ryan.
Answer(s): 90 min