At 11 55, Perry left Town G for Town H, driving at a speed of 96 km/h. At 13 55, Liam also left Town G for Town H driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 55, both of them passed a mosque that was 192 km away from Town H. How many minutes earlier did Liam reach Town H than Perry?
Duration that Perry travelled from 11 55 to 16 55 = 5 h
Distance that Perry travelled
= 5 x 96
= 480 km
Distance between Town G and Town H
= 480 + 192
= 672 km
Since Liam passed the mosque at the same time as Perry, it means that Liam travelled 480 km in 3 hours.
Liam's speed during the journey
= 480 ÷ 3
= 160 km/h
Duration that Liam took to reach Town H after passing the mosque
= 192 ÷ 160
= 1.2 h
Duration that Perry took to reach Town H after passing the mosque
= 192 ÷ 96
= 2 h
Difference between the time they took to reach Town H
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Liam reached Town H 48 minutes earlier than Perry.
Answer(s): 48 min