At 10 50, Cole left Town K for Town L, driving at a speed of 90 km/h. At 13 50, Rael also left Town K for Town L driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 50, both of them passed a hospital that was 270 km away from Town L. How many minutes earlier did Rael reach Town L than Cole?
Duration that Cole travelled from 10 50 to 16 50 = 6 h
Distance that Cole travelled
= 6 x 90
= 540 km
Distance between Town K and Town L
= 540 + 270
= 810 km
Since Rael passed the hospital at the same time as Cole, it means that Rael travelled 540 km in 3 hours.
Rael's speed during the journey
= 540 ÷ 3
= 180 km/h
Duration that Rael took to reach Town L after passing the hospital
= 270 ÷ 180
= 1.5 h
Duration that Cole took to reach Town L after passing the hospital
= 270 ÷ 90
= 3 h
Difference between the time they took to reach Town L
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Rael reached Town L 90 minutes earlier than Cole.
Answer(s): 90 min
