At 13 10, Daniel left Town P for Town Q, driving at a speed of 70 km/h. At 16 10, Rael also left Town P for Town Q driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 10, both of them passed a cafe that was 210 km away from Town Q. How many minutes earlier did Rael reach Town Q than Daniel?
Duration that Daniel travelled from 13 10 to 19 10 = 6 h
Distance that Daniel travelled
= 6 x 70
= 420 km
Distance between Town P and Town Q
= 420 + 210
= 630 km
Since Rael passed the cafe at the same time as Daniel, it means that Rael travelled 420 km in 3 hours.
Rael's speed during the journey
= 420 ÷ 3
= 140 km/h
Duration that Rael took to reach Town Q after passing the cafe
= 210 ÷ 140
= 1.5 h
Duration that Daniel took to reach Town Q after passing the cafe
= 210 ÷ 70
= 3 h
Difference between the time they took to reach Town Q
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Rael reached Town Q 90 minutes earlier than Daniel.
Answer(s): 90 min
