At 10 50, Lee left Town Y for Town Z, driving at a speed of 66 km/h. At 13 50, Rael also left Town Y for Town Z driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 50, both of them passed a hypermart that was 264 km away from Town Z. How many minutes earlier did Rael reach Town Z than Lee?
Duration that Lee travelled from 10 50 to 15 50 = 5 h
Distance that Lee travelled
= 5 x 66
= 330 km
Distance between Town Y and Town Z
= 330 + 264
= 594 km
Since Rael passed the hypermart at the same time as Lee, it means that Rael travelled 330 km in 2 hours.
Rael's speed during the journey
= 330 ÷ 2
= 165 km/h
Duration that Rael took to reach Town Z after passing the hypermart
= 264 ÷ 165
= 1.6 h
Duration that Lee took to reach Town Z after passing the hypermart
= 264 ÷ 66
= 4 h
Difference between the time they took to reach Town Z
= 4 - 1.6
= 2.4 h
1 h = 60 min
2.4 h = 2.4 x 60 = 144 min
Rael reached Town Z 144 minutes earlier than Lee.
Answer(s): 144 min