At 12 45, George left Town K for Town L, driving at a speed of 88 km/h. At 13 45, Pierre also left Town K for Town L driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 45, both of them passed a hospital that was 176 km away from Town L. How many minutes earlier did Pierre reach Town L than George?
Duration that George travelled from 12 45 to 17 45 = 5 h
Distance that George travelled
= 5 x 88
= 440 km
Distance between Town K and Town L
= 440 + 176
= 616 km
Since Pierre passed the hospital at the same time as George, it means that Pierre travelled 440 km in 4 hours.
Pierre's speed during the journey
= 440 ÷ 4
= 110 km/h
Duration that Pierre took to reach Town L after passing the hospital
= 176 ÷ 110
= 1.6 h
Duration that George took to reach Town L after passing the hospital
= 176 ÷ 88
= 2 h
Difference between the time they took to reach Town L
= 2 - 1.6
= 0.4 h
1 h = 60 min
0.4 h = 0.4 x 60 = 24 min
Pierre reached Town L 24 minutes earlier than George.
Answer(s): 24 min
