At 12 45, Dylan left Town N for Town P, driving at a speed of 78 km/h. At 13 45, Ethan 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 45, both of them passed a clinic that was 156 km away from Town P. How many minutes earlier did Ethan reach Town P than Dylan?
Duration that Dylan travelled from 12 45 to 16 45 = 4 h
Distance that Dylan travelled
= 4 x 78
= 312 km
Distance between Town N and Town P
= 312 + 156
= 468 km
Since Ethan passed the clinic at the same time as Dylan, it means that Ethan travelled 312 km in 3 hours.
Ethan's speed during the journey
= 312 ÷ 3
= 104 km/h
Duration that Ethan took to reach Town P after passing the clinic
= 156 ÷ 104
= 1.5 h
Duration that Dylan took to reach Town P after passing the clinic
= 156 ÷ 78
= 2 h
Difference between the time they took to reach Town P
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Ethan reached Town P 30 minutes earlier than Dylan.
Answer(s): 30 min