At 11 45, Carl left Town K for Town L, driving at a speed of 86 km/h. At 14 45, Nick 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 market that was 258 km away from Town L. How many minutes earlier did Nick reach Town L than Carl?
Duration that Carl travelled from 11 45 to 17 45 = 6 h
Distance that Carl travelled
= 6 x 86
= 516 km
Distance between Town K and Town L
= 516 + 258
= 774 km
Since Nick passed the market at the same time as Carl, it means that Nick travelled 516 km in 3 hours.
Nick's speed during the journey
= 516 ÷ 3
= 172 km/h
Duration that Nick took to reach Town L after passing the market
= 258 ÷ 172
= 1.5 h
Duration that Carl took to reach Town L after passing the market
= 258 ÷ 86
= 3 h
Difference between the time they took to reach Town L
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Nick reached Town L 90 minutes earlier than Carl.
Answer(s): 90 min
