At 14 10, Fabian left Town Y for Town Z, driving at a speed of 70 km/h. At 17 10, Sean also left Town Y for Town Z driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 10, both of them passed a grocery store that was 210 km away from Town Z. How many minutes earlier did Sean reach Town Z than Fabian?
Duration that Fabian travelled from 14 10 to 19 10 = 5 h
Distance that Fabian travelled
= 5 x 70
= 350 km
Distance between Town Y and Town Z
= 350 + 210
= 560 km
Since Sean passed the grocery store at the same time as Fabian, it means that Sean travelled 350 km in 2 hours.
Sean's speed during the journey
= 350 ÷ 2
= 175 km/h
Duration that Sean took to reach Town Z after passing the grocery store
= 210 ÷ 175
= 1.2 h
Duration that Fabian took to reach Town Z after passing the grocery store
= 210 ÷ 70
= 3 h
Difference between the time they took to reach Town Z
= 3 - 1.2
= 1.8 h
1 h = 60 min
1.8 h = 1.8 x 60 = 108 min
Sean reached Town Z 108 minutes earlier than Fabian.
Answer(s): 108 min