At 14 55, Carl left Town L for Town M, driving at a speed of 89 km/h. At 16 55, Rael also left Town L for Town M driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 55, both of them passed a bank that was 267 km away from Town M. How many minutes earlier did Rael reach Town M than Carl?
Duration that Carl travelled from 14 55 to 18 55 = 4 h
Distance that Carl travelled
= 4 x 89
= 356 km
Distance between Town L and Town M
= 356 + 267
= 623 km
Since Rael passed the bank at the same time as Carl, it means that Rael travelled 356 km in 2 hours.
Rael's speed during the journey
= 356 ÷ 2
= 178 km/h
Duration that Rael took to reach Town M after passing the bank
= 267 ÷ 178
= 1.5 h
Duration that Carl took to reach Town M after passing the bank
= 267 ÷ 89
= 3 h
Difference between the time they took to reach Town M
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Rael reached Town M 90 minutes earlier than Carl.
Answer(s): 90 min