At 14 10, Justin left Town W for Town X, driving at a speed of 74 km/h. At 17 10, Jeremy also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 20 10, both of them passed a grocery store that was 222 km away from Town X. How many minutes earlier did Jeremy reach Town X than Justin?
Duration that Justin travelled from 14 10 to 20 10 = 6 h
Distance that Justin travelled
= 6 x 74
= 444 km
Distance between Town W and Town X
= 444 + 222
= 666 km
Since Jeremy passed the grocery store at the same time as Justin, it means that Jeremy travelled 444 km in 3 hours.
Jeremy's speed during the journey
= 444 ÷ 3
= 148 km/h
Duration that Jeremy took to reach Town X after passing the grocery store
= 222 ÷ 148
= 1.5 h
Duration that Justin took to reach Town X after passing the grocery store
= 222 ÷ 74
= 3 h
Difference between the time they took to reach Town X
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Jeremy reached Town X 90 minutes earlier than Justin.
Answer(s): 90 min