At 12 15, Oliver left Town S for Town T, driving at a speed of 87 km/h. At 13 15, Tim also left Town S for Town T driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 15, both of them passed a boutique that was 174 km away from Town T. How many minutes earlier did Tim reach Town T than Oliver?
Duration that Oliver travelled from 12 15 to 16 15 = 4 h
Distance that Oliver travelled
= 4 x 87
= 348 km
Distance between Town S and Town T
= 348 + 174
= 522 km
Since Tim passed the boutique at the same time as Oliver, it means that Tim travelled 348 km in 3 hours.
Tim's speed during the journey
= 348 ÷ 3
= 116 km/h
Duration that Tim took to reach Town T after passing the boutique
= 174 ÷ 116
= 1.5 h
Duration that Oliver took to reach Town T after passing the boutique
= 174 ÷ 87
= 2 h
Difference between the time they took to reach Town T
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Tim reached Town T 30 minutes earlier than Oliver.
Answer(s): 30 min