At 14 15, Ryan left Town W for Town X, driving at a speed of 80 km/h. At 17 15, Riordan also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 20 15, both of them passed a mosque that was 240 km away from Town X. How many minutes earlier did Riordan reach Town X than Ryan?
Duration that Ryan travelled from 14 15 to 20 15 = 6 h
Distance that Ryan travelled
= 6 x 80
= 480 km
Distance between Town W and Town X
= 480 + 240
= 720 km
Since Riordan passed the mosque at the same time as Ryan, it means that Riordan travelled 480 km in 3 hours.
Riordan's speed during the journey
= 480 ÷ 3
= 160 km/h
Duration that Riordan took to reach Town X after passing the mosque
= 240 ÷ 160
= 1.5 h
Duration that Ryan took to reach Town X after passing the mosque
= 240 ÷ 80
= 3 h
Difference between the time they took to reach Town X
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Riordan reached Town X 90 minutes earlier than Ryan.
Answer(s): 90 min