At 14 20, Billy left Town E for Town F, driving at a speed of 75 km/h. At 15 20, Daniel also left Town E for Town F driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 20, both of them passed a cinema that was 150 km away from Town F. How many minutes earlier did Daniel reach Town F than Billy?
Duration that Billy travelled from 14 20 to 18 20 = 4 h
Distance that Billy travelled
= 4 x 75
= 300 km
Distance between Town E and Town F
= 300 + 150
= 450 km
Since Daniel passed the cinema at the same time as Billy, it means that Daniel travelled 300 km in 3 hours.
Daniel's speed during the journey
= 300 ÷ 3
= 100 km/h
Duration that Daniel took to reach Town F after passing the cinema
= 150 ÷ 100
= 1.5 h
Duration that Billy took to reach Town F after passing the cinema
= 150 ÷ 75
= 2 h
Difference between the time they took to reach Town F
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Daniel reached Town F 30 minutes earlier than Billy.
Answer(s): 30 min