At 12 35, Ryan left Town P for Town Q, driving at a speed of 66 km/h. At 15 35, Ivan also left Town P for Town Q driving at a certain speed. Both of them did not change their speed throughout the journey. At 17 35, both of them passed a hypermart that was 198 km away from Town Q. How many minutes earlier did Ivan reach Town Q than Ryan?
Duration that Ryan travelled from 12 35 to 17 35 = 5 h
Distance that Ryan travelled
= 5 x 66
= 330 km
Distance between Town P and Town Q
= 330 + 198
= 528 km
Since Ivan passed the hypermart at the same time as Ryan, it means that Ivan travelled 330 km in 2 hours.
Ivan's speed during the journey
= 330 ÷ 2
= 165 km/h
Duration that Ivan took to reach Town Q after passing the hypermart
= 198 ÷ 165
= 1.2 h
Duration that Ryan took to reach Town Q after passing the hypermart
= 198 ÷ 66
= 3 h
Difference between the time they took to reach Town Q
= 3 - 1.2
= 1.8 h
1 h = 60 min
1.8 h = 1.8 x 60 = 108 min
Ivan reached Town Q 108 minutes earlier than Ryan.
Answer(s): 108 min