At 14 50, Neave left Town X for Town Y, driving at a speed of 63 km/h. At 15 50, Valen also left Town X for Town Y driving at a certain speed. Both of them did not change their speed throughout the journey. At 18 50, both of them passed a florist that was 126 km away from Town Y. How many minutes earlier did Valen reach Town Y than Neave?
Duration that Neave travelled from 14 50 to 18 50 = 4 h
Distance that Neave travelled
= 4 x 63
= 252 km
Distance between Town X and Town Y
= 252 + 126
= 378 km
Since Valen passed the florist at the same time as Neave, it means that Valen travelled 252 km in 3 hours.
Valen's speed during the journey
= 252 ÷ 3
= 84 km/h
Duration that Valen took to reach Town Y after passing the florist
= 126 ÷ 84
= 1.5 h
Duration that Neave took to reach Town Y after passing the florist
= 126 ÷ 63
= 2 h
Difference between the time they took to reach Town Y
= 2 - 1.5
= 0.5 h
1 h = 60 min
0.5 h = 0.5 x 60 = 30 min
Valen reached Town Y 30 minutes earlier than Neave.
Answer(s): 30 min