At 14 50, Luke left Town Z for Town A, driving at a speed of 90 km/h. At 16 50, Harry also left Town Z for Town A driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 50, both of them passed a clinic that was 270 km away from Town A. How many minutes earlier did Harry reach Town A than Luke?
Duration that Luke travelled from 14 50 to 19 50 = 5 h
Distance that Luke travelled
= 5 x 90
= 450 km
Distance between Town Z and Town A
= 450 + 270
= 720 km
Since Harry passed the clinic at the same time as Luke, 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 A after passing the clinic
= 270 ÷ 150
= 1.8 h
Duration that Luke took to reach Town A after passing the clinic
= 270 ÷ 90
= 3 h
Difference between the time they took to reach Town A
= 3 - 1.8
= 1.2 h
1 h = 60 min
1.2 h = 1.2 x 60 = 72 min
Harry reached Town A 72 minutes earlier than Luke.
Answer(s): 72 min