At 11 10, Rael left Town R for Town S, driving at a speed of 90 km/h. At 13 10, Harry also left Town R for Town S driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 10, both of them passed a park that was 270 km away from Town S. How many minutes earlier did Harry reach Town S than Rael?
Duration that Rael travelled from 11 10 to 16 10 = 5 h
Distance that Rael travelled
= 5 x 90
= 450 km
Distance between Town R and Town S
= 450 + 270
= 720 km
Since Harry passed the park at the same time as Rael, it means that Harry travelled 450 km in 3 hours.
Harry's speed during the journey
= 450 ÷ 3
= 150 km/h
Duration that Harry took to reach Town S after passing the park
= 270 ÷ 150
= 1.8 h
Duration that Rael took to reach Town S after passing the park
= 270 ÷ 90
= 3 h
Difference between the time they took to reach Town S
= 3 - 1.8
= 1.2 h
1 h = 60 min
1.2 h = 1.2 x 60 = 72 min
Harry reached Town S 72 minutes earlier than Rael.
Answer(s): 72 min