At 12 35, Justin left Town N for Town P, driving at a speed of 84 km/h. At 13 35, Harry also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 35, both of them passed a salon that was 168 km away from Town P. How many minutes earlier did Harry reach Town P than Justin?
Duration that Justin travelled from 12 35 to 17 35 = 5 h
Distance that Justin travelled
= 5 x 84
= 420 km
Distance between Town N and Town P
= 420 + 168
= 588 km
Since Harry passed the salon at the same time as Justin, it means that Harry travelled 420 km in 4 hours.
Harry's speed during the journey
= 420 ÷ 4
= 105 km/h
Duration that Harry took to reach Town P after passing the salon
= 168 ÷ 105
= 1.6 h
Duration that Justin took to reach Town P after passing the salon
= 168 ÷ 84
= 2 h
Difference between the time they took to reach Town P
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Harry reached Town P 24 minutes earlier than Justin.
Answer(s): 24 min