At 10 45, Tom left Town C for Town D, driving at a speed of 99 km/h. At 12 45, Elijah also left Town C for Town D driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 45, both of them passed a museum that was 198 km away from Town D. How many minutes earlier did Elijah reach Town D than Tom?
Duration that Tom travelled from 10 45 to 15 45 = 5 h
Distance that Tom travelled
= 5 x 99
= 495 km
Distance between Town C and Town D
= 495 + 198
= 693 km
Since Elijah passed the museum at the same time as Tom, it means that Elijah travelled 495 km in 3 hours.
Elijah's speed during the journey
= 495 ÷ 3
= 165 km/h
Duration that Elijah took to reach Town D after passing the museum
= 198 ÷ 165
= 1.2 h
Duration that Tom took to reach Town D after passing the museum
= 198 ÷ 99
= 2 h
Difference between the time they took to reach Town D
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Elijah reached Town D 48 minutes earlier than Tom.
Answer(s): 48 min