At 11 45, Tim left Town S for Town T, driving at a speed of 62 km/h. At 14 45, Eric also left Town S for Town T driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 45, both of them passed a boutique that was 186 km away from Town T. How many minutes earlier did Eric reach Town T than Tim?
Duration that Tim travelled from 11 45 to 17 45 = 6 h
Distance that Tim travelled
= 6 x 62
= 372 km
Distance between Town S and Town T
= 372 + 186
= 558 km
Since Eric passed the boutique at the same time as Tim, it means that Eric travelled 372 km in 3 hours.
Eric's speed during the journey
= 372 ÷ 3
= 124 km/h
Duration that Eric took to reach Town T after passing the boutique
= 186 ÷ 124
= 1.5 h
Duration that Tim took to reach Town T after passing the boutique
= 186 ÷ 62
= 3 h
Difference between the time they took to reach Town T
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Eric reached Town T 90 minutes earlier than Tim.
Answer(s): 90 min