At 13 10, Warren left Town N for Town P, driving at a speed of 64 km/h. At 14 10, Jack also left Town N for Town P driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 10, both of them passed a hospital that was 128 km away from Town P. How many minutes earlier did Jack reach Town P than Warren?
Duration that Warren travelled from 13 10 to 18 10 = 5 h
Distance that Warren travelled
= 5 x 64
= 320 km
Distance between Town N and Town P
= 320 + 128
= 448 km
Since Jack passed the hospital at the same time as Warren, it means that Jack travelled 320 km in 4 hours.
Jack's speed during the journey
= 320 ÷ 4
= 80 km/h
Duration that Jack took to reach Town P after passing the hospital
= 128 ÷ 80
= 1.6 h
Duration that Warren took to reach Town P after passing the hospital
= 128 ÷ 64
= 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
Jack reached Town P 24 minutes earlier than Warren.
Answer(s): 24 min