At 11 55, Zane left Town N for Town P, driving at a speed of 96 km/h. At 12 55, Billy also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 16 55, both of them passed a clinic that was 192 km away from Town P. How many minutes earlier did Billy reach Town P than Zane?
Duration that Zane travelled from 11 55 to 16 55 = 5 h
Distance that Zane travelled
= 5 x 96
= 480 km
Distance between Town N and Town P
= 480 + 192
= 672 km
Since Billy passed the clinic at the same time as Zane, it means that Billy travelled 480 km in 4 hours.
Billy's speed during the journey
= 480 ÷ 4
= 120 km/h
Duration that Billy took to reach Town P after passing the clinic
= 192 ÷ 120
= 1.6 h
Duration that Zane took to reach Town P after passing the clinic
= 192 ÷ 96
= 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
Billy reached Town P 24 minutes earlier than Zane.
Answer(s): 24 min