At 13 40, Xavier left Town J for Town K, driving at a speed of 84 km/h. At 15 40, George also left Town J for Town K driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 40, both of them passed a museum that was 252 km away from Town K. How many minutes earlier did George reach Town K than Xavier?
Duration that Xavier travelled from 13 40 to 17 40 = 4 h
Distance that Xavier travelled
= 4 x 84
= 336 km
Distance between Town J and Town K
= 336 + 252
= 588 km
Since George passed the museum at the same time as Xavier, it means that George travelled 336 km in 2 hours.
George's speed during the journey
= 336 ÷ 2
= 168 km/h
Duration that George took to reach Town K after passing the museum
= 252 ÷ 168
= 1.5 h
Duration that Xavier took to reach Town K after passing the museum
= 252 ÷ 84
= 3 h
Difference between the time they took to reach Town K
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
George reached Town K 90 minutes earlier than Xavier.
Answer(s): 90 min