At 10 10, Jeremy left Town P for Town Q, driving at a speed of 68 km/h. At 13 10, Andy also left Town P for Town Q driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 10, both of them passed a mall that was 272 km away from Town Q. How many minutes earlier did Andy reach Town Q than Jeremy?
Duration that Jeremy travelled from 10 10 to 15 10 = 5 h
Distance that Jeremy travelled
= 5 x 68
= 340 km
Distance between Town P and Town Q
= 340 + 272
= 612 km
Since Andy passed the mall at the same time as Jeremy, it means that Andy travelled 340 km in 2 hours.
Andy's speed during the journey
= 340 ÷ 2
= 170 km/h
Duration that Andy took to reach Town Q after passing the mall
= 272 ÷ 170
= 1.6 h
Duration that Jeremy took to reach Town Q after passing the mall
= 272 ÷ 68
= 4 h
Difference between the time they took to reach Town Q
= 4 - 1.6
= 2.4 h
1 h = 60 min
2.4 h = 2.4 x 60 = 144 min
Andy reached Town Q 144 minutes earlier than Jeremy.
Answer(s): 144 min