At 14 30, Billy left Town W for Town X, driving at a speed of 80 km/h. At 15 30, Nick also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 30, both of them passed a cinema that was 160 km away from Town X. How many minutes earlier did Nick reach Town X than Billy?
Duration that Billy travelled from 14 30 to 19 30 = 5 h
Distance that Billy travelled
= 5 x 80
= 400 km
Distance between Town W and Town X
= 400 + 160
= 560 km
Since Nick passed the cinema at the same time as Billy, it means that Nick travelled 400 km in 4 hours.
Nick's speed during the journey
= 400 ÷ 4
= 100 km/h
Duration that Nick took to reach Town X after passing the cinema
= 160 ÷ 100
= 1.6 h
Duration that Billy took to reach Town X after passing the cinema
= 160 ÷ 80
= 2 h
Difference between the time they took to reach Town X
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Nick reached Town X 24 minutes earlier than Billy.
Answer(s): 24 min