At 13 40, Ian left Town E for Town F, driving at a speed of 63 km/h. At 15 40, Rael also left Town E for Town F driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 40, both of them passed a salon that was 189 km away from Town F. How many minutes earlier did Rael reach Town F than Ian?
Duration that Ian travelled from 13 40 to 17 40 = 4 h
Distance that Ian travelled
= 4 x 63
= 252 km
Distance between Town E and Town F
= 252 + 189
= 441 km
Since Rael passed the salon at the same time as Ian, it means that Rael travelled 252 km in 2 hours.
Rael's speed during the journey
= 252 ÷ 2
= 126 km/h
Duration that Rael took to reach Town F after passing the salon
= 189 ÷ 126
= 1.5 h
Duration that Ian took to reach Town F after passing the salon
= 189 ÷ 63
= 3 h
Difference between the time they took to reach Town F
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Rael reached Town F 90 minutes earlier than Ian.
Answer(s): 90 min