At 11 50, Cole left Town L for Town M, driving at a speed of 74 km/h. At 13 50, Wesley 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 50, both of them passed a museum that was 222 km away from Town M. How many minutes earlier did Wesley reach Town M than Cole?
Duration that Cole travelled from 11 50 to 15 50 = 4 h
Distance that Cole travelled
= 4 x 74
= 296 km
Distance between Town L and Town M
= 296 + 222
= 518 km
Since Wesley passed the museum at the same time as Cole, it means that Wesley travelled 296 km in 2 hours.
Wesley's speed during the journey
= 296 ÷ 2
= 148 km/h
Duration that Wesley took to reach Town M after passing the museum
= 222 ÷ 148
= 1.5 h
Duration that Cole took to reach Town M after passing the museum
= 222 ÷ 74
= 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
Wesley reached Town M 90 minutes earlier than Cole.
Answer(s): 90 min