At 11 15, Daniel left Town C for Town D, driving at a speed of 86 km/h. At 13 15, Michael also left Town C for Town D driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 15, both of them passed a cinema that was 258 km away from Town D. How many minutes earlier did Michael reach Town D than Daniel?
Duration that Daniel travelled from 11 15 to 15 15 = 4 h
Distance that Daniel travelled
= 4 x 86
= 344 km
Distance between Town C and Town D
= 344 + 258
= 602 km
Since Michael passed the cinema at the same time as Daniel, it means that Michael travelled 344 km in 2 hours.
Michael's speed during the journey
= 344 ÷ 2
= 172 km/h
Duration that Michael took to reach Town D after passing the cinema
= 258 ÷ 172
= 1.5 h
Duration that Daniel took to reach Town D after passing the cinema
= 258 ÷ 86
= 3 h
Difference between the time they took to reach Town D
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Michael reached Town D 90 minutes earlier than Daniel.
Answer(s): 90 min