At 13 10, Oscar left Town E for Town F, driving at a speed of 90 km/h. At 15 10, Jeremy also left Town E for Town F driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 10, both of them passed a playground that was 270 km away from Town F. How many minutes earlier did Jeremy reach Town F than Oscar?
Duration that Oscar travelled from 13 10 to 18 10 = 5 h
Distance that Oscar travelled
= 5 x 90
= 450 km
Distance between Town E and Town F
= 450 + 270
= 720 km
Since Jeremy passed the playground at the same time as Oscar, it means that Jeremy travelled 450 km in 3 hours.
Jeremy's speed during the journey
= 450 ÷ 3
= 150 km/h
Duration that Jeremy took to reach Town F after passing the playground
= 270 ÷ 150
= 1.8 h
Duration that Oscar took to reach Town F after passing the playground
= 270 ÷ 90
= 3 h
Difference between the time they took to reach Town F
= 3 - 1.8
= 1.2 h
1 h = 60 min
1.2 h = 1.2 x 60 = 72 min
Jeremy reached Town F 72 minutes earlier than Oscar.
Answer(s): 72 min