At 11 55, Brandon left Town L for Town M, driving at a speed of 99 km/h. At 12 55, Ahmad also left Town L for Town M driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 55, both of them passed a bistro that was 198 km away from Town M. How many minutes earlier did Ahmad reach Town M than Brandon?
Duration that Brandon travelled from 11 55 to 15 55 = 4 h
Distance that Brandon travelled
= 4 x 99
= 396 km
Distance between Town L and Town M
= 396 + 198
= 594 km
Since Ahmad passed the bistro at the same time as Brandon, it means that Ahmad travelled 396 km in 3 hours.
Ahmad's speed during the journey
= 396 ÷ 3
= 132 km/h
Duration that Ahmad took to reach Town M after passing the bistro
= 198 ÷ 132
= 1.5 h
Duration that Brandon took to reach Town M after passing the bistro
= 198 ÷ 99
= 2 h
Difference between the time they took to reach Town M
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Ahmad reached Town M 30 minutes earlier than Brandon.
Answer(s): 30 min