At 10 10, Sam left Town W for Town X, driving at a speed of 96 km/h. At 12 10, Zane also left Town W for Town X driving at a certain speed. Both of them did not change their speed throughout the journey. At 15 10, both of them passed a florist that was 192 km away from Town X. How many minutes earlier did Zane reach Town X than Sam?
Duration that Sam travelled from 10 10 to 15 10 = 5 h
Distance that Sam travelled
= 5 x 96
= 480 km
Distance between Town W and Town X
= 480 + 192
= 672 km
Since Zane passed the florist at the same time as Sam, it means that Zane travelled 480 km in 3 hours.
Zane's speed during the journey
= 480 ÷ 3
= 160 km/h
Duration that Zane took to reach Town X after passing the florist
= 192 ÷ 160
= 1.2 h
Duration that Sam took to reach Town X after passing the florist
= 192 ÷ 96
= 2 h
Difference between the time they took to reach Town X
= 2 - 1.2
= 0.8 h
1 h = 60 min
0.8 h = 0.8 x 60 = 48 min
Zane reached Town X 48 minutes earlier than Sam.
Answer(s): 48 min