At 13 20, Archie left Town K for Town L, driving at a speed of 62 km/h. At 15 20, Harry also left Town K for Town L driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 20, both of them passed a grocery store that was 186 km away from Town L. How many minutes earlier did Harry reach Town L than Archie?
Duration that Archie travelled from 13 20 to 17 20 = 4 h
Distance that Archie travelled
= 4 x 62
= 248 km
Distance between Town K and Town L
= 248 + 186
= 434 km
Since Harry passed the grocery store at the same time as Archie, it means that Harry travelled 248 km in 2 hours.
Harry's speed during the journey
= 248 ÷ 2
= 124 km/h
Duration that Harry took to reach Town L after passing the grocery store
= 186 ÷ 124
= 1.5 h
Duration that Archie took to reach Town L after passing the grocery store
= 186 ÷ 62
= 3 h
Difference between the time they took to reach Town L
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Harry reached Town L 90 minutes earlier than Archie.
Answer(s): 90 min