At 13 30, Japheth left Town Q for Town R, driving at a speed of 66 km/h. At 16 30, Zane also left Town Q for Town R driving at a certain speed. Both of them did not change their speed throughout the journey. At 19 30, both of them passed a cinema that was 198 km away from Town R. How many minutes earlier did Zane reach Town R than Japheth?
Duration that Japheth travelled from 13 30 to 19 30 = 6 h
Distance that Japheth travelled
= 6 x 66
= 396 km
Distance between Town Q and Town R
= 396 + 198
= 594 km
Since Zane passed the cinema at the same time as Japheth, it means that Zane travelled 396 km in 3 hours.
Zane's speed during the journey
= 396 ÷ 3
= 132 km/h
Duration that Zane took to reach Town R after passing the cinema
= 198 ÷ 132
= 1.5 h
Duration that Japheth took to reach Town R after passing the cinema
= 198 ÷ 66
= 3 h
Difference between the time they took to reach Town R
= 3 - 1.5
= 1.5 h
1 h = 60 min
1.5 h = 1.5 x 60 = 90 min
Zane reached Town R 90 minutes earlier than Japheth.
Answer(s): 90 min