At 10 55, Ben left Town G for Town H, driving at a speed of 69 km/h. At 12 55, Julian also left Town G for Town H driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 55, both of them passed a temple that was 138 km away from Town H. How many minutes earlier did Julian reach Town H than Ben?
Duration that Ben travelled from 10 55 to 15 55 = 5 h
Distance that Ben travelled
= 5 x 69
= 345 km
Distance between Town G and Town H
= 345 + 138
= 483 km
Since Julian passed the temple at the same time as Ben, it means that Julian travelled 345 km in 3 hours.
Julian's speed during the journey
= 345 ÷ 3
= 115 km/h
Duration that Julian took to reach Town H after passing the temple
= 138 ÷ 115
= 1.2 h
Duration that Ben took to reach Town H after passing the temple
= 138 ÷ 69
= 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
Julian reached Town H 48 minutes earlier than Ben.
Answer(s): 48 min